If your operating pressure never dropped out then everything is fine. As mentioned the compressor is just refilling the air you used. It has to do that to maintain your working pressure. AB compressors have small tanks is all but enough to eliminate air pulsing and uneven working pressure…
Compressors have a couple of pressure switches… One is set for turning on when tank pressure hits a certain level, the other shuts off the pump when tank is full. As long as it cycles on and off, it sounds like running normal. The bigger the tank the less cycling it will do with an AB.