Tuning while playing is not reserved for Segovias. It mainly takes a good ear to identify the string and amount to which it is out of tune. Next time you do not need your left hand for half a sec, adjust the peg based on your estimate. Repeat if necessary.

Of course gaps between songs cannot always be avoided, for tuning and for other reasons such as rearranging the gear etc. "Bantering" can be helpful to prevent boredom - it need not be continuous.

Example: you tune two strings while the audience is still processing the experience of the previous song. Then you produce a line of "bantering", then tune two more strings - the audience will be busy laughing and reflecting their personal feelings. Before you tune the last two strings, you announce the next song; the audience may welcome a couple of seconds to relate that information to their memory.