Griffon is actually Pafos based, although they used to have a small presence at Larnaka. Pafos is the better of the two civilian airports to operate from, as it is quieter and the scenery is better that side of the island.
I cannot think of a day's flying lost ever due to weather. Sometimes it can be slightly hazy, but usually its severe clear.
AOPA has fought (and won) to open new training areas and VFR routes and expanded the ones that were already there so it's opened up. Longer cross country flights can include Beirut, Rhodes, Crete, Egypt etc.