The most common and most likely answer to this crossword clue is the 5 letter word EQUIP
I've seen this crossword clue in The Guardian
E
Q
U
I
P
More clues leading to the result EQUIP
Buddy explains!

The straight part
We know that "outfit/outfit" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case outfit/outfit = equip.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 EQUIP mean?
EQUIP verb- To supply with something necessary in order to carry out a specific action or task; to provide with (e.g. weapons, provisions, munitions, rigging)
- To dress up; to array; to clothe.
- To prepare (someone) with a skill.
- To equip oneself with (an item).