Does the t-case sound like it is trying, and does the 4x4 light come on? How about low range?
If the 4x4 lights up, but doesn't engage, get underneath and check that the front drive shaft is really locked up by trying to spin it. If the T-case is locking the front drive shaft, then the problem is in the front axle. If not it is a t-case engagement problem. There is a selenoid in the t-case that can and does go out that pushes the t-case into 4x4.
AFTERTHOUGHT:
Have you tried it in neutral while stopped? Sometimes things just need time to lock up.
ALSO: as good maintenance you should have been shifting into 4x4 at least once a month for a mile, just to get everything moving. Try low range at least once every 6 months (NOT ON ASPHALT OR CONCRETE), for a few yards.
