Balance chasing could be bad for your credit score since it raises your credit utilization for that credit card. Don't let balance chasing stop you from paying off your credit card balance. The sooner you get rid of your credit card balance for good, the sooner you can stop being a victim of balance chasing.
Credit card issuers don't have to give you any notice before lowering your credit limit, so balance chasing could come as a complete surprise. That's why it's a good idea to check your available credit before making a new credit card purchase. You now have to opt-in to over-the-limit transactions, so if your credit limit is unexpectedly lowered, any transaction that would put you over your credit limit will be declined. This helps you avoid paying over-the-limit fees.