Do you find that it works as well against 1...d5 as it does against 1...Nf6?
It works fine against both, since after 1...Nf6 2.Nc3 black's best move is 2...d5 and vice versa. So regardless of which first move is played it usually transposes into the same position.
Are there any black responses that it doesn't work as well against?
Against KID setups from black where he plays ...Nf6,...g6 and not ...d5 a Jobava setup looks kind of awkward. It is better to play a Pirc type position with e4 instead of e3. Like this:
This goes for pretty much any time black doesn't play ...d5. Such as 1...b6, 1...a6, etc. Taking the centre with 2.Nc3 and 3.e4 is going to be better than sticking with a Jobava setup.
Also, against 1...Nc6 you should play 2.Bf4 before Nc3, since the immediate 2.Nc3 allows 2...e5, where white's position is fine, but you won't be able to get a Jobava.
Any other thoughts/recommendations as to how to play it would be helpful. Thanks.
I'm not sure how much you already know, but I'll put some basic themes in the Jobava here, hopefully it will be a help to you or someone else reading the topic.
Nb5 is usually a great move
This is an extremely common tactic that is important to remember. It will win you lot's of games.
I'm considering taking up the Jobava London opening and want to hear from people who currently play it. Do you find that it works as well against 1...d5 as it does against 1...Nf6? Are there any black responses that it doesn't work as well against? Any other thoughts/recommendations as to how to play it would be helpful. Thanks.