The most common and most likely answer to this crossword clue is the 7 letter word DUMPING
I've seen this crossword clue in The Daily Telegraph
D
U
M
P
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G
More clues leading to the result DUMPING
Buddy explains!

The straight part
We know that "Throwing away" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case throwing away = dumping.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.
What does DUMPING mean?
DUMPING verb- To release, especially in large quantities and chaotic manner.
- To discard; to get rid of something one does not want anymore.
- To sell below cost or very cheaply; to engage in dumping.
- To copy data from a system to another place or system, usually in order to archive it.
- To output the contents of storage or a data structure, often in order to diagnose a bug.
- To end a relationship with.
- To knock heavily; to stump.
- To put or throw down with more or less of violence; hence, to unload from a cart by tilting it
- To precipitate (especially snow) heavily.
- The disposal of something no longer needed, or of no value.
- Selling goods at less than their normal price, especially in the export market as a means of securing a monopoly.