Drastic style that gets you there quicker (8)
I believe the answer is:
shortcut
'quicker' is the definition.
(I've seen this before)
'drastic style' is the wordplay.
'drastic' becomes 'short' (I can't explain this - if you can you should believe this answer much more).
'style' becomes 'cut' (synonyms).
'short'+'cut'='SHORTCUT'
'that gets you there' acts as a link.
I am not very happy about this link. Some or all of it may be part of another bit of the clue.
Can you help me to learn more?
(Other definitions for shortcut that I've seen before include "route for saving time" , "Quicker route" , "quicker way" , "more direct route" , "way to save time" .)