The most common and most likely answer to this crossword clue is the 7 letter word HUMPING
I've seen this crossword clue in The Times
H
U
M
P
I
N
G
Buddy explains!

The straight part
We know that "Carrying" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case carrying = humping.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 HUMPING mean?
HUMPING verb- To bend something into a hump.
- To carry (something), especially with some exertion.
- To rhythmically thrust the pelvis in a manner conducive to sexual intercourse
- To prepare for a great exertion; to put forth effort.
- To vex or annoy.
- To shunt wagons / freight cars over the hump in a hump yard.
- A hump or mound.
- Sexual intercourse.