LED products work very well with electrical controls such as dusk-to-dawn sensors, daylight harvesting controls, timers, etc.
On the other hand, a compact fluorescent (CFL) requires a non-electronic, or mechanical control.
The problem using any control device with CFL’s is voltage leak. Some photo controls actually leak a small amount of electrical current in the off position. The best way to test if your existing photocell is compatible with CFLs is to measure the voltage at the socket when the sun is shining brightly - a digital meter is required. The voltage should be 0.0VAC. When you see any other reading, it is possible that it is not compatible.
Intermatic's Photo Control series K4000C, K4100 and K4200, mechanical “snap action” type dusk-to-dawn photocells will work well with a CFL. These types of dusk-to-dawn sensors work well with CFL’s because they are either totally on or off and without current leak.