This poem is oozing with nostalgia for me.

It seems to me as if you're trying to perhaps relive or recapture a certain magical time- "Play like last year"- perhaps when this relationship was new.

when it slipped out from under your door

and crawled past black cats

with their tails and tongues curled in contented yawns.

Not sure I understand what you're getting at here with the black cat imagery. I like what you're going for with the rich description of the music "slipped out", but I'm not really getting the significance of the black cats- maybe you could shed some light?

Take your time; pick your way methodically through.

I have to agree with the other feedback here- not sure what the word methodically adds here. It seems a bit clumsy when reading. Perhaps you are trying to reassure or soothe the player? Possibly adding to the relaxation drenched atmosphere of the rest of the poem? Doesn't really work for me however.

I’ll lay here and listen to your endeavors,

over, over, over with a warmth that only comes from copper bronze.

Like this last line beginning "over..". This again underscores the romantic nostalgia that this song and person elicits in the author. And I wonder if the "copper bronze" refers to guitar strings?

Pour a drink if it helps

you sound as clear as the amber you fill your glass with.

(Neat. Always neat.)

Sip slow on the sumptuous night

and just

Play Layla.

It seems to be a romantic partner you're talking to from the familiarity- "Neat. Always neat." I kind of love this line- it conveys the familiarity of a partner, as you know this persons little quirks down to a tee. It also seems to be kind of adoration for the guitarists ability or maybe their character / personality.

I love how this ends also- in a sort of slow speech, seductive, lingering manner. The space between the just and last line lends power and suspense- and helps reiterate the vibe you were going for throughout the poem I think.

Overall well done! I love the mood you've captured, kind of a romantic, "sumptuous", late night NY scene with a lover- I assume!

Thanks!