In T.S. Eliot's poem, "The Love Song of J. Alfred Prufrock," I believe there is a good deal of room for interpretation here. I see that two possibilities present themselves: the speaker may be speaking to a woman or to a friend, but I find myself leaning more to one than the other.
If the speaker is addressing a friend, he might suggest:
Let us go and make our visit.
In the room the women come and go
Talking of Michelangelo.
eNotes suggests interpretation that would support (though not exclusively) the idea of two men going out on the town:
The phrase "one-night" refers to hotels where lovers meet in secret, and the reference to "oyster-shells" carries with it the connotation of sexuality, as these are a food said to improve sexual stamina.
"Let us go and make our visit" could refer to traveling to haunts (places that people frequent), to visit with women there.
However, eNotes also acknowledges that "you" is unidentified. And in this case, to theorize as to the identity of the "you" in the...
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