The most common and most likely answer to this crossword clue is the 7 letter word MADISON
I've seen this crossword clue in The Times
M
A
D
I
S
O
N
More clues leading to the result MADISON
- President Danton, at first in his own house?
- I must stop crazy boy becoming president
- Nice house around back of cardboard city
- Cycle event from French house includes first stage to Dijon
- Old US president’s domains regulated
- 1 Free admission is not included for cycling event
- One’s willing to follow crackpot President
- Enthusiastic boy, one entering cycle event
- Crazy is running for president
- Angry boy grabbing one US President
Buddy explains!

The straight part
We know that "President" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case president = madison.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 MADISON mean?
MADISON noun- A two-man track cycling event in which partners take turns to race round the track a number of times, and then must exchange places with a partner by means of a hand sling.