Tindall powered through twice in the last 12 minutes, adding to tries by full-back Olly Morgan and Lesley Vainikolo.
Morgan crossed in just the fourth minute before home scrum-half Shaun Perry was sin-binned.
The Cherry and Whites led 10-3 at the break and that stayed the score until Tindall touched down.
Vainikolo went over with two minutes left before David Lemi crossed for Bristol and Tindall's got his second at the death.
SCORERS - Bristol: try Lemi; pen Barnes, con Jarvis. Gloucester: tries Morgan, Tindall (2), Vainikolo; pen Lamb; cons Barkley, Lamb (2)
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