Bit of a long shot I know but anyone?
Yeah, I've been over that way. As people have said, Bali is probably where you'd have better luck punting wise. Bear in mind Lombok is a muslim island (vs hindu in Bali), so more conservative, many more hijabs, alcohol more expensive etc
I wouldn't bother with the Gilis (Air, Meno, T) - in order, they are quiet, hyper-quiet, western-party. Lot of social stigma in terms of offering services, so not likely to be much there apart from maybe Gili T.
I spent some time in Senggigi (lovely coastline), dipped into Mataram. I think Mataram is probably a good base if you were looking to see what the options were, though accommodation is pretty grim
I was mongering more than punting - getting decent results on Badoo (paid for premium). Lovely 21YO I took to Nusa Lembongan - covered her travel and a bit for "loss of earnings" at the cafe she was working in. Very sweet girl, fun in bed. Another effort was a bit of a disaster, she gave out very forward signals but was too innocent to back them up - hadn't even kissed anyone until me, so I didn't push things further.
I think you'll find the market a lot more limited than Bali, but with some gems if you're mongering and have the patience - my cute 21YO is still a little attached, and I could probably re-visit if I was passing through - they're happy to be shown a good time and get away from the grind... just be culturally respectful, particularly with PDA etc
Overall - I'd imagine it's not great for punting, but it's IMO the island is much nicer than Bali - cleaner, quieter, cheaper, nice beaches, no hoards of Legian Aussies.
As a general point, I got better results on Badoo than on Tinder... I'd say there's more punting options on Tinder though.