Reporting part-time earnings while on benefits, nurse's aide here

I picked up part-time shifts as a nurse's aide and I am confused about how to report them. I would rather hear the honest version than the polite one. Sometimes my paycheck is late by a week. Who can I ask without risking my claim?

The claimant handbook has worked examples for part-time pay. Mine was clearer than the phone line.

Thanks for writing this out. I went through something close to it last year, and it settled down once I kept a simple log of every call and form.