I've got a potted Persian lime tree that's about 2-3 years old that has not developed any blooms yet. I water and fertilize regularly but I don't overdo it. I did only just buy the tree about 9 months ago. The leaves are dark green and don't show any signs of infestation or disease.
Lime Tree Not Blooming
Certified GKH Gardening Expert
There can be several different reasons for lack of blossoms or combinations of reasons.
Here are some great articles that will help you pinpoint the cause.