How to get UILabel to respond to tap?

You can add a UITapGestureRecognizer instance to your UILabel.

For example:

UITapGestureRecognizer *tapGestureRecognizer = [[UITapGestureRecognizer alloc] initWithTarget:self action:@selector(labelTapped)];
tapGestureRecognizer.numberOfTapsRequired = 1;
[myLabel addGestureRecognizer:tapGestureRecognizer];
myLabel.userInteractionEnabled = YES;