The most common and most likely answer to this crossword clue is the 5 plus 10 letter word FLOYD MAYWEATHER
F
L
O
Y
D
M
A
Y
W
E
A
T
H
E
R
Buddy explains!
The straight part
We know that "Man of the day" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case man of the day = floyd mayweather.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.