Lately & recently

Lately is used to describe a repetitive event in the past, or to say a particular event has not occurred in near past. It is used in the perfect tense. e.g.:

I have been working out lately. Working out is repetitive in nature. It is done habitually.

I haven't gone to school lately. Going to school is a single action that I have not done in the near past.

Recently is used to show the occurrence of an event in the near past, that isn't repetitive. It usually occurs with the simple past tense, e.g.:

I went to the gym recently. Here going to the gym is a one time action that occurred and finished. There is no implied scope of its recurrence.

Are there any cases in which "recently" can be used in sentences with present perfect (continous)?

If so, would you please give me some examples?

Thank you.