Can a 120v pool timer be used on a two-wire 240v circuit?
This timer can be hooked up to your 220V, 20 AMP, 2 wire plus ground circuit from the panel. Since you don't have a neutral you won't be able to ever run any 120V equipment unless you change your wiring. This timer have the ability to switch both hots on a single 220V load but not on three separate equipment items. You'll only be able to switch one hot on each piece of equipment. The other hot will always be connected to a load wire. 

With your 220V circuit, the two hot legs from the panel will be your line 1 and line 2.  Your wires from your three pieces of equipment will be your load 1 and load 2  for each piece.