Is there any evidence to suggest telling puns to a child makes them enjoy it when they are older? My own experience was that my father and grandfather retold many puns as I was in my childhood and teens; at the time, I thought it was abysmal. 

Now I think they're the funniest things ever. 

Is there any evidence to suggest that telling puns to children makes them enjoy those puns when they are older? I.e., are puns 'conditioned'?
Nostalgia for fond memories commonly produces positive emotion (for further review, see Zhou, Wildschut, Sedikides, Chen, &amp; Vingerhoets, 2012). As for the increase in your appreciation of these particular puns, I've mentioned in a very recent answer of mine to another very recent question about humor that positive emotion alone may encourage the sense that something is funny. Depending on the nature of the particular puns, they might also appeal to a certain sense of humor you've had to develop with age and experience. 

This last point is just conditional speculation though; I also admit that the article I've cited doesn't pertain to humor directly, and I can't provide more direct evidence of the sort your question requests offhand. I hope someone else can!

Reference

Zhou, X., Wildschut, T., Sedikides, C., Chen, X., &amp; Vingerhoets, A. J. (2012). Heartwarming memories: Nostalgia maintains physiological comfort. Emotion, 12(4), 678–685. Available online, URL: http://www.wildschut.me/Tim_Wildschut/home_files/emo-2012-05385-001.pdf.