Cryptic crossword clue
Member’s problem when drink on the counter swiped by Trojan king 8

The most common and most likely answer to this crossword clue is the 8 letter word PRIAPISM

I've seen this crossword clue in The Guardian
P
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A
P
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M

Buddy explains!

The straight part
We know that "Member’s problem" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case member’s problem = priapism.
The cryptic/wordplay part
In cryptic crossword there's often an wordplay/cryptic part as well.
This part involves a more complex hint, such as an anagram, homophone, hidden word, etc.
Sadly, We don't have an explanation for this specific crossword clue yet.

What does PRIAPISM mean?

PRIAPISM noun
  1. A potentially painful or harmful medical condition in which the erect penis (erection) does not return to its flaccid state (despite the absence of both physical and psychological stimulation), often as a result of a spinal injury.
  2. Obsessive focus on one's genitals or on the need for genital gratification.

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