Travelocity does not have its own frequent flyer program. Frequent flyer programs are usually run directly by airlines, which Travelocity is not. Travellers that have accumulated frequent flyer miles from an airline cannot use those points to purchase airfare on Travelocity.
Travellers who have a frequent flyer account with an airline may receive frequent flyer miles from that airline program if they book a flight on the airline through Travelocity. At the time of booking, Travelocity will collect your frequent flyer number and send your information to the airline.
Travelocity relays frequent flyer information as a courtesy to their customers. It is the airline's decision whether or not to give points for a flight reserved through Travelocity.