One does wonder if such references are just there to be cute or if they serve a larger purpose.
Well, I do wonder, many, or most of the Clara episodes mention or allude to music or songs. Whether this is an indirect reference to River or not, nothing is there to say, but it seems to be there to me. There is an unknown shop girl who gave her the Tardis number (very likely to be River). And the overt references to Amy and River last episode with the crib make me think that Moffat wants to tie together River, Amy, and Clara in some fashion.