I never studied 'programming' or computer science. However....
1) I got my first summer research position because they needed someone to build them a beowulf cluster for massive data processing. Skills derived from putzing around with computer hardware.
2) I was asked to join a lab in undergrad because they needed someone who understood basic science that could write programs to sort through gathered genomic code. That experience became the focal point of my medical school application. Skills derived from writing scripts for Tribes, Counter-Strike and Starcraft.
3) I designed an online Step 1/shelf exam case database with skills derived primarily from running a Minecraft server/website. (Java and mysql) Not a huge part of my residency application, but something that I was asked about many times on my interview trail. In fact, where I matched at (my first choice) was extremely interested in various programming projects and hardware design that I had done. It is clear since arriving at my residency that they are hopeful to exploit/maximize those skills to produce some new technologies in vascular surgery/surgical education.
Again, never really formally studied, but I would not be where I am right now if I didn't learn skills doing things that I enjoyed doing. If you like it, do it.