Are there a uhd.tune_request(f_center + f_doppler, f_doppler)-like api in limesdr?

As we known, you can use a uhd.tune_request(f_center + f_doppler, f_doppler)
to keep the RF LO frequency constant.

Are there a uhd.tune_request(f_center + f_doppler, f_doppler)-like api in limesdr?

Not that I know of, but @IgnasJ could confirm and if this is the case, you could add an issue to the Lime Suite GitHub tracker with a feature request.