Step 1: Recall the Wongawilli mining method.
The Wongawilli method is a pillar extraction technique used in underground coal mining.
Step 2: Identify the extraction technique.
In this method, extraction is carried out using the
\[
\boxed{\text{Pocket and Wing technique}.}
\]
Hence,
\[
\boxed{\text{Wongawilli method}}
\]
is the correct answer.
Therefore,
\[
\boxed{(C)}
\]
is the correct answer.