Most turbulent time following lies about millions (9)
I believe the answer is:
stormiest
'most turbulent' is the definition.
('stormy' can be similar in meaning to 'turbulent')
'time following lies about millions' is the wordplay.
'time' becomes 't'.
'following' says to put letters next to each other.
'lies' becomes 'stories' (story is a kind of lie**).
'about' is an insertion indicator.
'millions' becomes 'm' (abbreviation).
'stories' going around 'm' is 'stormies'.
't' put after 'stormies' is 'STORMIEST'.
(Other definitions for stormiest that I've seen before include "Tries most (anag.)" , "Most turbulent" .)