No airlines flying into DPS offer complimentary fast-track to passengers. There is a reputable pay-service though, The Bali Concierge.
http://www.thebaliconcierge.com/VIP-...t-Service.html
The staff escort you into a lounge while they sort out immigration - relatively hassle-free. CX's DPS flight lands around half an hour after the TG flight (which is being upgraded to 744 equipment, from the original A330 later this month) but depending on whether or not the TG flight is early/on-time or late, you could be in for a long wait.