This week he was romantically-linked to his Mission Impossible co-star Paula Patton after they attended the Independent Spirit Awards.
But despite a rep for the actress denying anything but friendship between them, we'd have offered more than a penny for his thoughts after seeing him out in LA yesterday.
The American Hustle star looked deep in thought as he hid beneath a baseball cap and sunglasses as he headed for lunch.
Jeremy Renner keeps it casual as he's spotted out since being romantically-linked to friend Paula Patton (FameFlynetUK)
Renner, 43, has been looking very smart of late and looking sexy at the Oscars on Sunday in a black tuxedo and a smart navy suit for the ISAs the day before.
But yesterday the suited-and-booted look was replaced with one far more casual as he walked along in combat trousers, trainers and an army-green T-shirt.
He and Paula, 38, were seen together at the ISAs, where they presented an award together. Photos emerged of the pair hanging out together backstage with Jeremy appearing to place a hand on her bare leg while posing for a photo at one point and it wasn't long before speculation was circulating that the pair were hooking up.
Radar Online claimed Paula and Renner had “cosied up” to each other while VH1's The Gossip Table also reported to have sources who allegedly witnessed them getting up, close and personal.
Paula Patton, seen here at the Independent Spirit Awards last weekend, has denied being involved with Renner (WENN)
However, a rep for Paula has shot down the rumours telling Gossip Cop that the pair have been friends for a while and aren't involved romantically.
Not that we'd blame Paula for getting flirty with the Avengers cutie, but the two have been mates since they starred together in Mission: Impossible - Ghost Protocol alongside Tom Cruise in 2011.
She announced her split from husband and childhood sweetheart Robin Thicke on February 24th and in a statement, the pair said they will remain friends for the sake of their three-year-old son, Julian.
After her appearance at the Independent Spirit Awards, Paula is said to have partied at 1Oak nightclub and seemed to be enjoying herself even when Robin's smash hit single 'Blurred Lines' was played.
An eyewitness told UsWeekly that Paula “appeared unfazed and didn't let it ruin her evening,” continuing to dance.