Violent storm encountered on the way up – bother! (7)
I believe the answer is:
tempest
'violent storm' is the definition.
(tempest is a kind of violent storm)
'encountered on the way up bother' is the wordplay.
'encountered' becomes 'met' ('meet' can be a synonym of 'encounter').
'on the way up' says the letters should be written in reverse.
'bother' becomes 'pest'.
'met' backwards is 'tem'.
'tem'+'pest'='TEMPEST'
(Other definitions for tempest that I've seen before include "A violent storm like Shakespeare's" , "Outburst" , "Shakespeare's 5" , "Violent Shakespearian storm" , "Pets met in violent storm" .)