While partial fipronil resistance in feline fleas has been reported, this resistance does not appear to be widespread, according to this study which found fipronil to be effective against feline fleas (this study used dogs as subjects, though I don't think that should make much difference as feline fleas were one of the parasites that was investigated).
This review suggests that most reports of resistance are the result of improper use and misunderstanding of flea biology and life cycle.
However, given the potential for resistance, they recommend an integrated approach to flea control, using both medication (including the use of both adulticides and insect growth regulators (some products such as Frontline Plus (which contains fipronil and (S)-methoprene) combine these in one treatment) in multiple-pet households) and treatment of the environment (vacuuming, insecticides, etc.).