The Department of Health & Social Care (DHSC) and Public Health England (PHE) are leading the UK government response to the Coronavirus (COVID-19) outbreak, including the production of guidance as this is a public health issue. They are working closely with other government departments including devolved government departments and HSE.  Advice for employers (non-clinical) can be found at the following links and include considerations for waste:

The relevant HSE response team  will continue to comment on proposed PHE guidance and there are updates as and when necessary. I suggest you contact PHE in the first instance to clarify if there is any specific guidance with regard to your query, which may affect other industries as well as waste. HSE will not produce any guidance themselves on this issue.

It is obviously imperative to ensure that usual hygiene measures associated with W&R are strictly adhered to. Further guidance can be found on the WISH website