First, show the character - the introduction should present them in detail, following the inevitably boring blather.
Once the reader knows the character and their vice, you can start skimming, letting the narrator replace the actual blather ("after ten minutes of introduction and catching up on recent gossip..."). Keep reminding the reader, exposing them to bits of the small talk now and then, but just not enough to bore them.
And then, whenever it matters, return to the actual blather - where it won't be boring. Say, we're in an urgent situation and the annoying person just can't get to the point. Or we have a moment of downtime right when the sky is in the process of falling, the character fills the silence with blather, and another character just snaps at the incessant babbling. Or contrary, an antagonist is trying to squeeze information from the team, and the 'talker' just drives them crazy by talking everything except of what matters. Or a disaster happens because an important information just got lost in the sea of trivialities.
Don't make a character who uses a lot of smalltalk without reason. It's an annoying trope and stories are better off without it unless it can serve a valid purpose. Maybe the character is secretly an introvert with a dark secret, shielding themselves with a habit they know to be annoying and repulsive, to drive others away. Maybe the character will fall entirely silent at that one crucial moment, creating a deep, ominous impression that it is now. Maybe they are really clever and can use their blather to manipulate others; the apparently annoying vice being in fact a powerful weapon. Or maybe they keep talking to silence the inner demons, not to let out things that really bother them.
Anyway, it's tricky and difficult to strike balance between showing the character and keeping it interesting. If you don't have a really good reason, just don't do it. But such a character does have a lot of potential, and a proper build-up - even if annoying and boring - can be immensely rewarding, and if you really let that character shine in the end, all the sins of boredom committed earlier will be forgiven.