Doubtful that the squealing and a clutch slippage coulbe be linked. A slipping slutch usually makes no noise. I'd assign the squeaking more to a badly greased pulley or a slipping belt, especially it it disappears soon after startup and when the car warms up.
Regarding checking if the clutch slips, drive it in 2dn gear at about 3500 RPM (near max torque) along a preferably deserted long straight and floor it but keep your left foot on the break to prevent the car from accellerating. If the revs go up then the clutch is slipping.
Some people prefer the hand-brake check but I prefer the steady speed driving test (as mentioned above) as the hand-brake check usually ends with a stall (if the clutch does not slip).