Have you ever left someone...because of their inability to put their phone down or walk away from social media
Sort of.
I've dated a couple women now that were incapable of communicating outside of their "safe space" i.e. email.
If something bad happened they would clam up. Then a few days, weeks, or months of back to dating/relationship normalcy I'd receive a very long email listing all sorts of things I did or they experienced.
At first I thought since it was new they were just too nervous to deal with things directly since we met through the internet.
But when it started to happen consistently, I walked away from that.
walked out on a date once.
I've never walked out on a date because they were too engrossed in their phone or social network.
I just enjoyed my meal and eavesdropped on the other tables and watched what they were doing.
But I didn't invite them to go out, nor accepted an invitation from them, again.
I've never been with anyone for any length of time that had issues with social media or texting addiction.
Wasn't sure if the op meant "left them" as in "left after being part of a relationship for a significant amount of time," or, "left the table on the first date."