How would this recount be different than the first original count?
In the original tally did they just take the top line result with the electronic machines and not do an audit? If so, then maybe I could see the point of doing a recount, but if the recount process is going to be identical to the first, then there's really no point. The number of votes Hilary is losing by is too big to overcome just by doing a retread.
That said, doing a recount in at least one of the states might be good to quell the conspiracy theories from entering the mainstream.It's probably in the best interest of the Trump Admin to have a recount, so they can put the issue to bed at the very start. Considering Hilary now has over a 2 million popular vote lead, it probably would be good for the Trump admin to have those Rust belt state votes beyond any suspicion.
Trump is in the honeymoon phase of the transition, but once he actually becomes President and shit begins to hit the fan and people start turning on him, he'll prefer if this conspiracy theory already put out to pasture. Similar to how Obama had to deal with the birth certificate conspiracies....