The Paint It Black singer has offered up a tribute to his late pal for the new issue of Rolling Stone magazine and he reveals Bowie was a big fan of his wardrobe.
"He'd always look at my clothes labels," Jagger said. "When he would see me, he'd give me a hug, and I could feel him going up behind the collar of my shirt to see what I was wearing.
"He used to copy me sometimes, but he'd be very honest about it. If he took one of your moves, he'd say, 'That's one of yours - I just tried it'. I didn't mind sharing things with him, because he would share so much with me. It was a two-way street."
"We were very close in the 80s in New York," Jagger adds. "We'd hang out a lot and go out to dance clubs. We were very influenced by the New York downtown scene back then. That's why Let's Dance is my favourite song of his - it reminds me of those times, and it has such a great groove."
And the Rolling Stones star will always have fond memories of recording Dancing in the Street with Bowie, chuckling, "We had to record the song and film the video all in one day. We walked straight from the studio onto the set of the video.
"At the end of the day, we were saying, 'See, it can be done! Why are we spending years in the studio?' We enjoyed camping it up. The video is hilarious to watch. It was the only time we really collaborated on anything, which is really stupid when you think about it."
The two rockers also became neighbours on Caribbean island, Mustique.
"David was so relaxed there, and so kind to everyone," Jagger recalled. "He did a lot of work making health care better for local people; I was doing school charity work, and he would come with me there and do story time with the local kids. It was really sweet."