The deposit of the property has not been refunded before. Can I offset it or ask for a refund?

Of course. Because the former property will hand over the work with the current property before leaving the job, the current property will know about it, and if the property deposit is not refunded, it can ask the current property to offset or refund the deposit. This is a normal operation, which can protect their personal interests. However, if the other party disagrees, they can complain to the property management office of the local real estate administration, which is the competent department of the property industry.