Three times six, initially all things of little value (6)
I believe the answer is:
trivia
'things of little value' is the definition.
'trivia' can be an answer for 'things' (I have seen 'Unimportant things ' mean 'trivia' so perhaps 'things' could also mean 'trivia'). I'm not certain of the 'of little value' bit.
'three times six initially all' is the wordplay.
'three times' becomes 'tri' (I can't justify this - if you can you should give a lot more credence to this answer).
'six' becomes 'VI' (Roman numerals).
'initially' suggests taking the first letters.
The initial letter of 'all' is 'a'.
'tri'+'vi'+'a'='TRIVIA'
Can you help me to learn more?
(Other definitions for trivia that I've seen before include "Unimportant information" , "Unimportant things or details" , "Unimportant or valueless things" , "Things of little importance" , "Something of little importance" .)