In a few weeks you should begin to see roots coming from the bottom of your cutting. Also, rosemary roots quicker if the cutting is resting on the bottom of the jar, not floating. Be sure to change the water every four or five days.
Early July is an excellent time to collect cuttings from favorite shrubs and to root them. Azalea, camellia and holly are easy shrubs to propagate by rooting. There are several techniques for helping a cutting to form its own root system.