Better periods after skipping British tour (8)
I believe the answer is:
outstrip
'better periods' is the definition.
'outstrip' can be an answer for 'better' (better can mean to outstrip or outdo). I'm not certain of the 'periods' bit.
'after skipping british tour' is the wordplay.
'after' means one lot of letters go next to another.
'skipping british' becomes 'outs' (I can't explain this - if you can you should believe this answer much more).
'tour' becomes 'trip' (I've seen this in another clue).
'outs' next to 'trip' is 'OUTSTRIP'.
Can you help me to learn more?
(Other definitions for outstrip that I've seen before include "As to purist, surpass or run faster" , "Go faster or do better than" , "Go far ahead of" , "Move faster than and overtake" , "Surpass, do better than" .)