Arduino sleeping with BT

I use Arduino dev. equipped with BT and RTC. I would like to make it asleep and wake-up only by RTC alarm. But simultaneously I would like to use BT to get timer date-time some times. Is there any solution?
I think about sleeping of Arduino dev. for every several seconds and sniffing for BT between.

Thanks.
D.

Hi nobody really had not have solved such a situation?

Tell us about the ways you have tried.

Paul

I just look for a way to go.

The request is to be able to connect to the device any time to re-set-up the time/times and to save energy with sleeping.