I don't know how old your cutting mats are but when you get a new one be sure to clean off all the lint-fabric-threads that get imbedded when you use your rotary cutter.
Using wet or damp cloth is good, but also bend the mat a bit to expose those bits that get imbedded and remove them.
I had my cutting mat for 8 yrs, using both sides, before I had to replace it. Taking even better care now.