If it is pumped central heating and gravity hot water, then the pump will be mostly likely positioned on the return, which puts the heating system under negative or sub-atmospheric pressure.
If there are small micro leaks on say the pump valves (look for signs of corrosion on the inlet side of the pump) then air is pushed into the system from atmosphere due to there being a sub-atmospheric condition (created by the pump running).
Micro leaks are small enough to allow air to be pushed into a system, but small enough for water not to leak out. However, signs of corrosion are sometimes observable on the pump valves.
Ask customer if air is present in summer months when heating not on, this will help you link the problem to the pump and heating use.
Look for red oxide on pump, in system water or expansion cistern, which indicates air in system, which rules out hydrogen or corrosion issues. If its air then micro leaks, and positions of cold feed and vent should be investigated.
Note: diagnosing problems such as these are impossible to be certain, no matter how much experience or knowledge you have. There is always something we do not know!