What abilities Conte likes in the players? Let's see:
-stamina
-physacility
-intelligence
-tactical awereness
-hard-work
-suited to italian football ideally
Chiesa has it all. It's difficult for me to say where Chiesa could play in 3-5-2, but Conte for sure has clear idea how to benefit from Chiesa.
Moreover, Chiesa reminds me of Tevez. Of course, he is not a striker, but he has similar way of playing. Another similar player in recent years in Serie A? Iturbe who was the reason that Conte left Juventus, because he didn't get him. Yep, in hindsight, it turned out that Iturbe didn't develop into world class player, but I think he could be another Conte's soldier and it's a clear example what kind of player Conte likes and needs.
Another reason is Marotta who loves to search for bargains and his ideal transfer targets are players which underperfoming for given moment, because they are cheaper. Chiesa was brilliant in recent seasons, but he is dissapointing this season and lacks motivation to play in Firenze. Fiorentina has conflict with Juventus and it's a nice occasion to intercept their target. Loaning Dalbert to Fiorentina wasn't a coincidence and it turned out to be a good idea, because he can be a bargaining chip in this deal... so it could be nice opportunity in January, Juventus has no funds for this deal, because they have to get rid of many players to make space for another.
So Dalbert + Politano/Gabigol + cash for Chiesa is possible in my opinion.