This is a great poem - I think all that really need fixing are a few technical things. The word 'snuck' really jumped out at me. I don't know whether that is ever grammatically correct, but it's colloquial at the very least, and doesn't seem to fit with the tone of the poem. I think you should change it to 'sneaked'.

It also seems like a couple of commas are missing. I think you need one at the end of, 'Yet between bitter sips'. I'm also a bit confused by the line 'we grip into the tea dependent'. Without a comma after 'tea', it's like your talking about a tea dependent like an insulin dependent, but I'm not sure you meant it quite like that! In the same stanza, I also think the comma would sit better at the end of the second line rather than the first.

That's about all. You can always spot a couple more little things, but if you just think about those bits I mentioned I think you can improve it plenty.

The imagery is good. It might be cool to slip in a few more references to drug addiction to add to the overall effect, but as it is, it works really well.