The most common and most likely answer to this crossword clue is the 6 letter word PILLOW
P
I
L
L
O
W
More clues leading to the result PILLOW
- Medical treatment that hurts? Here's neck support
- Part of face turned down, on this?
- Cheek raised on soft cushion
- Treatment given to expression of pain: support in bed
- Cushion sound of blow to conceal trouble
- “Close to drop, Villa lack wingers!” — cry of suffering supporter
- Support one kind of prisoner — it’s bad being kept in
- Head’s rested on this rugby ball perhaps — that hurt!
- Cushion not well held by prisoner
- Headrest has base supporting raised edge
Buddy explains!

The straight part
We know that "Put your head on this" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case put your head on this = pillow.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 PILLOW mean?
PILLOW noun- A soft cushion used to support the head in bed.
- A pillow lava.
- A piece of metal or wood, forming a support to equalize pressure; a brass; a pillow block.
- A block under the inner end of a bowsprit.
- The socket of a pivot.
- A kind of plain, coarse fustian.
- To rest as on a pillow.