See Times probing public rumour, producing a lot of information (8)
I believe the answer is:
kilobyte
'a lot of information' is the definition.
I can't tell whether this definition defines the answer.
'see times probing public rumour' is the wordplay.
'see' becomes 'lo' ('lo' is an archaic exclamation meaning 'look!').
'times' becomes 'by' (both can mean 'multiplied by').
'probing' means one lot of letters goes inside another (probe can mean to make a hole in).
'public rumour' becomes 'kite' (I can't explain this - if you can you should give a lot more credence to this answer).
'lo'+'by'='loby'
'loby' inserted within 'kite' is 'KILOBYTE'.
'producing' acts as a link.
Can you help me to learn more?
(Other definitions for kilobyte that I've seen before include "in which a small file could fit" , "amount of data" .)