The most common and most likely answer to this crossword clue is the 5 letter word BINGE
I've seen this crossword clue in Financial Times
B
I
N
G
E
More clues leading to the result BINGE
- Quantity of wine, say, knocked back in boozy spree
- Session for one writer in retreat
- Crooner has energy for a lot of drinking
- Indulge yourself: say “pointed part” backwards
- Being naughty, drink too much
- Wine store linked with, say, rising over-indulgence
- Party being organised
- Begin disorderly spree
- Begin drunken spree
- Quantity of wine, say, knocked back in this
Buddy explains!

The straight part
We know that "Session" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case session = binge.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 BINGE mean?
BINGE noun- A short period of excessive consumption, especially of food, alcohol, narcotics, etc.
- (by extension) A short period of an activity done in excess, such as watching a television show.
- To engage in a short period of excessive consumption, especially of excessive alcohol consumption.