The most familiar caecilians are the "rubber eels," or aquatic caecilians that used to be available from aquarium shops. Terrestrial caecilians are only occasionally available to hobbyists. I've kept the Mexican Dermophis, and have seen a few African and Indonesian species available. Many have specialized diets (termite larvae, etc.), so some care must be taken not to acquire species that are not suitable for captive husbandry.

Caecilian links:

Caecilian.org
Costa Rican caecilians
Caecilian diversity

Deletre & Measey. 2004. Sexual selection vs ecological causation in a sexually dimorphic caecilian, Schistometopum thomense... Ethology Ecology & Evolution 16: 243-53.

Measey. 2004. Are caecilians rare? An East African perspective. J East African Natural History 93: 1-21

Measeey, et al. 2001. Permanent marking of a fossorial caecilian, Gegeneophis ramaswamii... J South Asian Nat. History 5(2): 141-7.

Measey, et al. 2003. Quantitative surveying of endogeic limbless vertebrates--a case study of Gegeneophis ramaswamii... Applied Soil Ecology 23: 43-53.

Oommen, et al. 2000. Distribution and abundance of the caecilian Gegeneophis ramaswamii (Amphibia: Gymnophiona). Current Science 79(9): 1386-9.

Prabha, et al. 2000. Ventilatory mechanics and the effects of water depth on breathing pattern in the aquatic caecilian Typhlonectes natans. J Exp. Biol. 203: 263-72.

Wever & Gans. 1976. The caecilian ear: further observations. PNAS 73(10): 3744-6.