The most common and most likely answer to this crossword clue is the 7 letter word BINNING
I've seen this crossword clue in Financial Times
B
I
N
N
I
N
G
Buddy explains!
The straight part
We know that "Chucking in rubbish" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case chucking in rubbish = binning.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 BINNING mean?
BINNING verb- To dispose of (something) by putting it into a bin, or as if putting it into a bin.
- To throw away, reject, give up.
- To convert continuous data into discrete groups.
- To place into a bin for storage.
- A data pre-processing technique in which original data values fall into a small interval ("bin") and are replaced by a value representative of that interval, often the central value. Wp
- The process of grouping reads or contigs and assigning them to operational taxonomic units. Wp
- The categorization of finished products based on their characteristics. Wp
- The process of combining charge from adjacent pixels in a CCD image sensor during readout.