The AC runs as it should.
To clarify, the shims/washers on the compressor clutch are worn so when it heats up it disengages.
The zip ties bring the front section back into line so it does not shut when warm. It operates as normal turning on an off with the AC.
It will still cycle or shut down if there is insufficient gas or other issues.
If the system is otherwise in good condition you are not doing any harm, you do not need to re gas. You do not need to remove the compressor.
Total cost about $0.20 at no loss or harm. It is common well documented problem with the 850 style compressor.
http://volvoforums.com/forum/volvo-850-16/c-compressor-clutch-reshimming-6665/