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i caught him............... his neck.
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Anonymous I caught him............... his neck. Always capitalise I.
'...tying a rope around...'

'...squeezing a boil on the back of...'

Rover
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... scratching ...
... sawing through ...

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I caught him by his neck.

I caught him sticking out his neck.
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If I had to pick a single preposition with which to fill in the blank, I'd go with either "by" or "around".
by or around.. definetely!
I caught him by his neck
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I caught him by the neck