Cat, saving skin, went haphazardly through grass then went through again (2-7)

'went through again' is the definition.
I can't judge whether this definition defines the answer.

'cat saving skin went haphazardly through grass' is the wordplay.
'saving skin' indicates the central letters (the 'skin' of the word is left out or 'saved').
'haphazardly' is an anagram indicator.
'through' means one lot of letters goes inside another (inserted letters go through the word).
'grass' becomes 'reed' (type of grass plant).
The central letters of 'went' are 'en'.
'cat'+'en'='caten'
'caten' is an anagram of 'enact'.
'enact' inserted inside 'reed' is 'RE-ENACTED'.

'then' is the link.

Can you help me to learn more?