Before I actually reply I need to clear some shit up with these lifts, will ask the question in gym and supp thread if you care to input it's to do with defining each lift, since they're all very f**king similar yet have completely different names that seemingly mean one thing but in fact mean something else.
Before I get the question answered, I'll just be retarded - I've occasionally chucked in a bunch of cleans (be it power cleans from knee height, or whatever the f**k it is from the ground) towards the end of my back or shoulder sessions. If it was a shoulder sesh I'll usually continue the movement through to the overhead press, though if it's just back that session I'll increase the weight and not add the press.