The most common and most likely answer to this crossword clue is the 6 letter word STROLL
I've seen this crossword clue in Independent
S
T
R
O
L
L
More clues leading to the result STROLL
- Way to get bread and piece of cake
- Provocateur on schedule at first for easy victory
- Walk street and go from side to side
- Stone to move downhill, perhaps, making gentle pace
- Stone to move downhill, say, showing gentle pace
- Start to sketch possibly libellous poster, no hurry
- Constitutional state, initially being linked with Scandinavia
- Small problem on the internet? No great rush
- Walk or run on street
- Constitutional way to mug someone
Buddy explains!

The straight part
We know that "constitutional" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case constitutional = stroll.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 STROLL mean?
STROLL noun- A wandering on foot; an idle and leisurely walk; a ramble.
- To wander on foot; to ramble idly or leisurely; to rove.
- To go somewhere with ease.
- To walk the streets as a prostitute.