There are two factors which determine whether you can get your driving licence early following a drink driving ban
. The 1st one is whether you have completed a drink driving rehabilitation course which can reduce your ban by upto a quarter of its term and the 2nd one is how long you have been banned for.
In your case, because you've been banned for 3 years, you will need to wait for a minimum of 2 years before you can apply to get your licence back. If the 2 year period has not elapsed yet, you will have to wait before you can make any such request.