I shoot at 24fps all the time at 1/50. No flickering. Your shutter must be set accordingly to your frame rate you choose. Known as the 180 degree shutter rule. At 24fps your shutter should be of 1/48 but DSLRs don't have that, so the closest would be at 1/50. There's a calculation for different frame rates but i usually multiply by 2 of the Framrate to get the shutter speed.
Mostly termed as Rolling Shutter which is happens a lot on DSLRs because of the CMOS sensor scanning type.