Seem to be a good number of light aircraft at Larnaca airport when we taxy past. Also there is a flying club at RAF Akrotiri where they welcomed me as a visitor about 4 years ago (not sure at the moment though!).
I believe there is also a small flying club at Paphos but not certain.
AVGAS is not available on the island and given the temperatures at times I would imagine MOGAS could be interesting!
Very friendly people in Cyprus.