The most common and most likely answer to this crossword clue is the 6 letter word URGENT
U
R
G
E
N
T
More clues leading to the result URGENT
- Desperate man in his primitive form?
- Pressing case for unpopular fellow
- Desperate rebel in southern desert
- Very important bloke, top dog at summit!
- Old city man is earnest and persistent
- Pressing under guarantee, not only banks
- Sexual desire at noon – time’s pressing
- Important old city fellow
- Original chap demanding attention
- Man from ancient city calling for immediate attention?
Buddy explains!

The straight part
We know that "pressing" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case pressing = urgent.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 URGENT mean?
URGENT adjective- Requiring immediate attention.