There is a game aspect to twitter that reminds me of a puzzle, or indeed of writing. This word increases engagement. This word decreases. Capitalisation, phrasing, timing all matter. Everything can be refined for maximum effect. Of course, writing has editing, which makes refinement of those things easier. And then, rehearsing possible phrases and trying to anticipate reactions has the quality of a conversation based RPG: do it right and you acquire faction points with your party members and various NPC groups. Selecting optional side quests can win additional experience and sidestep combats. Sometimes, it's almost fun.
But it isn't a game, of course. Not really. There is no reload option and a lot of real world consequences for mistakes. The fun dries up when that happens. Periodically, I remember that it isnt a game and have a mild panic about the whole thing.
Absolutely yes, the gamification aspect of social media (and Twitter especially) is rather easy to get sucked into, especially if that's the kind of thing you like.
Watching the conversation develop, I have to admit that I lied. I use Twitter rather extensively for work, where I don't get to yell about politics (BUT THEN WHAT ELSE WILL I YELL ABOUT!?!?!). It's easy, but boring, and sometimes makes the whole thing feel even more inane and empty. But I like Tweetdeck, between the edit button, the scheduling, and the superior emoji game.