Fluke beeping and lead beeping and "lead" in display when turned on

Fluke is an expensive premium professional device - the company is almost certain to operate a repair or exchange and calibrating service and I suggest you entrust your meter service to them.

If you select current measuring (A or mA) and have the test lead connected to V then you get this alarm. Same thing if you select Voltage measuring and the lead is connected to a current terminal.
Check the connections and the selector setting.

a. Connect test leads to the + and COMMON terminals.

b. Turn the function selection switch to the DC OHMS position.

c. Turn the range selector switch to the 200mV position.

d. Short the test leads together.

e. Allow the instrument to warm up for 15 minutes.

f. Using an insulated screwdriver, adjust the potentiometer through the hole located directly below the analog display for a numerical display of 00.0. http://www.simpson260.com/downloads/simpson_360-2_user_manual-1975.pdf

PDF]Series III Multimeter - Fluke

assets.fluke.com/manuals/7926____iseng0200.pdf
The meter defaults to autorange when you turn on the meter. ... When the meter detects a new input, it beeps and displays a new ...

Try using compressed air to clean terminal block plugs (specially mA plug) - something is stuck there and unit thinks that you have your leads connected to mA and setting and will beep if you turn knob to any other function.

Terminal is dirty inside and unit thinks that leads are connected to mA terminals and knob is at Volts,

Use compressed air to clean terminals and if that does not help use cotton bud with little alcohol on it to clean terminals inside. It will fix the problem.

clean amp terminals with compressed air and iso dipped cotton swab (dirt inside terminals can cause "leads" error to come on

no its not normal, clean terminals with cotton bud and ISO and then some compressed air, buildup of dirt in terminals may cause unit to display leads error

Fluke 88 V displays "LEADS" warning if test leads are in A or mA/uA terminals but switch position does not corespond with those terminals.

Remove all leads and if you still get "LEADS" warning try cleaning all terminals with air. Sometimes dirt gets in A terminals and unit thinks that leads are connected.

Use compressed air or airduster to blow dust from all terminals and hopefully that will fix the problem.

I have the older model but this may have the beep turned off......