The most common and most likely answer to this crossword clue is the 3 plus 5 letter word JOE BLAKE
J
O
E
B
L
A
K
E
Buddy explains!

The straight part
We know that "Taipan e.g.," is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case taipan e.g., = joe blake.The cryptic/wordplay part
In cryptic crossword there's often an wordplay/cryptic part as well.This part involves a more complex hint, such as an anagram, homophone, hidden word, etc.
Sadly, We don't have an explanation for this specific crossword clue yet.