Ac compressor cuts on off just had a new one put ,on is it because its low on refridgerant

Need to hook up some a/c gauges to see what the pressures are. Too high of pressure will shut it off. Too low pressure will cut it off. Need to know if pressure is too high or too low to make a guess of what can be wrong.

go with the ac guy
there are systems that prevent the ac compressor working
high pressure switch which cuts the ac clutch if the head pressure goes too high
low pressure switch which cuts power to the ac compressor if there
is no gas in the system
climate control systems which cut power when the ac is not required
fuses to the ac system
get a better explanation or seek advice from other ac mechanics

There is a low refridgerant pressure switch, and a high refridgerant pressure switch. Either can cut the power to the clutch. You will have to check the pressure in the system to know for sure.
The electrical part in the clutch could be bad. You could run jumper wires to the clutch connector to see if it will engage. If not, its the clutch. If it does engage, then more than likely your just low on refridgerant, and possibly have a tiny leak.

The AC not working wil not affect the engine coolant temperature. The engine cooling system is a seperate system fromthe AC system on your vehicle.
The AC could simply have a small leak and the refridgerant has leaked down and needs to be replaced. If that is the case you can have what is called a "pep charge" performed and you will have AC working again until it leaks back down. Before you ask, I can't tell you how long that will take because it depends on the sevarity of the leak(s). Might be a couple of days might be a year. That should generally be about $40 or less depending on how much refridgerant they need to add to your system.
Of course you may have AC components that have failed such as a compressor. This will be an expensive repair. There is no way around this. Usually when a compressor goes out, you need to replace the compressor, receiver/dryer, orifice tube, all of the refridgerant, and have the system flushed. This is costly.
Many shops have proper AC equipment and properly trained techs that can peform an AC diagnostics for $40-$50 (in my area) that takes about an hour or so. This will tell you if the refridgerant is low, indicating a leak, or if your compressor or other component is not functioning properly.
At my shop when a customer pays for the Diagnostic and we find that the system is low on refridgerant. We offer to re-fill the system (customer has to pay additional for the refridgerant of course but no more labor) and add a special UV dye to the system. Then I ask that the customer drive the vehicle for a couple of days with the AC running then return. I can then use a special UV light and glasses to find the leak point on the AC system by locating the point where the dye leaked out. This is all included in the initial diagnostic charge and does not take too much time.
From there we make the decision of whether to fix the leak or not. Often times the leak is repaired for minimal cost as the leak ponts are commonly very inexpensive parts.

the R134 refridgerant goes in the low side line of the AC system under the hood, the low side line is the larger of the 2 lines coming from the AC compressor

When recharging the ac you need to recover the old refridgerent. That means you have to take out all the old 134 and replace with new 134. On the engine sticker under the hood should tell you how many pounds of 134 it takes. When put in the 134 make sure your ac is on high.

It may need some refridgerent oil put in,or the compressor is going bad.

Sounds like you have too much in the system already. You need to take it somewhere where they can put the correct amount in. Or, you have a bad compressor.

it's not suposed too for several minutes this keeps you from starting it with load of ac compressor on

if it does not come back after a few minutes ck refrigerant pressure at low side port (static no compressor engauged) it's gotta be over 10 psi or press switch thinks it's M/T and won't engauge compressor
add refridgerant

did you oil the compressor? you have to put a predetermined amount of oil in the compressor before running it.