Two 6 year olds breaking up because of a misunderstanding caused by a barbie comb.
When a friendship or romantic relationship disintegrates faster than a tissue held under running water, metaphorically speaking. Often results in using actual tissues.
Steve had just broken up with his girlfriend. It was a tissue breakup, because they'd just been hanging out the previous day.
When your partner acts progressively more obnoxious and insensitive, forcing you to break up with THEM, thus achieving their true goal without undue drama or bloodshed.
My wife has been drunkenly chasing our pool boy and the maid, cracking jokes subtly at my expense and flirting with the tennis pro at our country club. It’s a stealth breakup, she forced me to do the deed myself by acting so obnoxiously.