Most of the 'F' clamps that I have, both cheap and expensive, develop this problem sooner or later.
They work on the amount of friction generated by the lateral pressure of the clamp at that point on both sides of the vertical bar. In use this bar gets smooth or glazed over and the clamp section then moves under pressure.
One fix that seems to work is to introduce some form of roughness on both sides of the bar with a hack-saw or very rough file. Sounds drastic, but it works. When new, you'll probably notice that there is a series of serrations in this part....... it's this that needs tarting up.
If you use bench hold-fasts (which work on the same principle) you'll get the same problem which can be overcome by popping a series of pock marks on the back of the bar where it jams in the bench with a centre-punch.
Hope this helps