But while Chloe and Brooklyn were spotted skateboarding together in Santa Monica, Calif. in June, for now, the reported romance has to be long distance – he's currently finishing up school in London.
Though while he’s been in Los Angeles, the two have allegedly gone on dates at the beach, skateboarding and taking classes together at SoulCycle.
"They don't drive, so they had to be chaperoned around," a source tells Us. "It was very cute."
According to E! News, Brooklyn also recently broke up with his British girlfriend -- the 15-year-old daughter of Ladies of London star Julie Montagu and her husband, Luke Montagu -- who he's been dating since last summer.