Carefully follow second speech (5)
I believe the answer is:
stalk
'carefully follow' is the definition.
'stalk' can be an answer for 'follow' (I've seen this before). I'm not sure about the 'carefully' bit.
'second speech' is the wordplay.
'second' becomes 's' (common abbreviation).
'speech' becomes 'talk' (talk is a kind of speech).
's'+'talk'='STALK'
Can you help me to learn more?
(Other definitions for stalk that I've seen before include "Follow prey stealthily" , "Stem; follow" , "Quietly pursue" , "Follow sneakily" , "Stem; pursue stealthily" .)