I never stopped drinking it but found I naturally cut back and only have a couple of cups a day, 3 at most.
I only have about 1 cup of tea now as I now realise I really only drank so much of the stuff before to wash down the cookies that made up 50% of my diet
I drank coffee during induction too and lost 22 pound the first two weeks and 6 the following two.
Since then havnt lost much but dont think I an blame the coffee.
Think I increased my carbs too much. I am actually happier at a lower level and find it easier to stick to so have just cut back again.

Id say see how you go and if you are a slow loser try cutting it and then you will know if it makes a difference.