I had a client do it for pushups once, he nearly doubled his RM in a few short weeks (it was in the 10-15 range).
I've done it with HeSPU and one arm pushup progressions, alternated with pull-ups or weighted chin-ups, several times. A few friends of mine did something similar, alternating with dips or another type of press, in addition to the pulls. All of us were very successful. It's still my preferred way to run the FPP: press, rest a minute, pull, rest a minute, etc. The pulls and presses can be done in different rep ranges. Movements and rep ranges can be rotated to prevent staleness, however, it is not a 'park bench' program and shouldn't be dragged out too far... it's pretty demanding.