Lipo charging is two separate phases - the CC part (constant current) is the faster part at the charge rate you select, the CV part (constant voltage) is the last part and its much slower. The lipo is being topped off at constant voltage and you'll see the current fall off slowly down to near zero where the lipo is fully charged.
This is just the normal lipo charge process. Your charger may not do any balancing in the CC part and do it all in the CV phase. Some chargers let you select when the balancing occurs, some don't.