I followed the PSP for a few weeks some years ago, because my group wanted to experiment with it. I found it very disappointing and even irritating to work with. It exhausted my patience. My main negative points are:
- Ridiculous emphasys in things like typos or missing semicolons.
- Impractical forms that you have to fill by hand.
- Focus on procedural programming instead of OO.
- Estimating involves counting the number of loops, functions, etc.
I found it a massive waste of time. I'd rather choose to leave this profession than to be forced to follow the PSP.
Related material: My answer about a PSP book in the "What programming book would you NOT recommend to developers" question.