Reporting part-time earnings while on benefits - any advice?

I picked up part-time shifts as a customer-service rep and I am confused about how to report them. It has been a long 15 weeks. Pay posts on a different day from when I work. Who can I ask without risking my claim?

I estimated and then checked my pay stub. When there was a small difference I wrote to the agency to correct it.

Keep everything in writing and save the confirmation numbers. It made the follow-up calls so much easier.