EXCLUSIVE

Taylor Swift, Joe Alwyn We're Holding Hands and Running ... So Shoot Quick!!!

Taylor Swift showed up to the Jingle Ball event Friday night at Madison Square Garden ... and it's the first time we've seen her hand-in-hand with her boyfriend.

Taylor and Joe Alwyn raced from their SUV to the front door, but it was enough time to see a romance marker ... hand holding.

SplashNews.com

Alwyn is a British actor and model. They've been together since the summer, but we've never really seen them out and affectionate.

Listen to the frustrated photog in the video, who grouses he was only able to get off one shot.

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