Pebble Watches

The start-up company Pebble — which builds customizable smartwatches — isn't afraid of a little competition from the tech titan Apple.

Apple may be dabbling in the smartwatch space, according to recent reports, but Pebble won't cower away from competing with Apple and sell its business, said Eric Migicovsky, co-founder and CEO of Pebble, on CNBC's Squawk on the Street Tuesday.