Breaker box clicks on then air conditioner still running but warm

Does the fan run?

If you need further help, reach me via phone at https://www.6ya.com/expert/thomas_092728000e6acb79

Maybe undersized wire, or breaker is loose on busbar.
http://waterheatertimer.org/Color-codewire.html
http://waterheatertimer.org/How-to-replace-circuit-breaker.html
http://waterheatertimer.org/Troubleshoot-household-electricity.html#stress
Move wires to another same-size breaker.
Use nose and ears to listen for crackling and burning at circuit breaker.
See if breakers feel warm.
Add comment and say what you find

If you need further help, I’m available over the phone at https://www.6ya.com/expert/gene_9f0ef4df2f9897e7

You may be over loading the circuit. Try only running the AC then see if it runns longer turn everything else off on the circuit. most window AC need a 20 amp breaker. If you have had it on the circuit for a long time without any problem you may have been at the limit of the breaker and it is going bad. If you are overloading the line one way to tell if the unit runs long enough 30 min or more the cord on the unit will get warm or the faceplate of the plug in will get warm also look at the cords end where it plugs into the outlet is it melted or blackened ect obviouse signs of overheating. I always recomend a dedicated line for AC. Hope this helps good luck and be careful with the electricity.

COLEMAN R.V. AIR CONDITIONER SERVICE AND REPAIR QUESTIONS
COLEMAN R.V. PRODUCTS
GO TO rvcomfort.com
Click on RVP (RV PRODUCTS)
Click on type of AC, if you can’t find the information you want there,
then click on contact us on the Green Bar.
You can get Service Support or Email address and Phone numbers.

your breaker may be weak try replace

seems that if it runs for 5 minutes there shouldnt be any shorted wires I would say your breaker needs replaced

Is this a split system? If it is then the fuse or breaker is in the disconnect box on the wall by the outside unit. You will see a grey flex conduit running from the unit to the box which is grey, it carries your 230 volt wires. Inside that box will either be fuses or a breaker.
If it's a window unit then it will be the breaker that supplies the power to that outlet.

Breaker has popped either at breaker box or at the safety shut off switch. Fuses are blown or the sending unit has popped.

The compressor motor , once warm is grounding out due to wear and is going bad.Have the compressor replace while it is still clean is cheeper and easier that doing it after a burn out,which  will eventually happen,if the compressor is tripping the brreaker as I suspect..

this is a sound usually meaning the breaker has a higher amp on start up your breaker probably has a loose connection or your breaker is going bad hope this helps