Vout of an op-amp ever exceed gain?
The Vout value can never exceed the rail voltage. So if you have ±5V rails, that will be a max value for Vout. Because of Common Mode Voltage Range (CMVR) in many opamps the output will be lower than that by a few 0.1's of a volt. (rail to rail output op amps do not have this limitation).
So if an opamp has ±5V rails with a 10Vpp signal, the most it will ever get is ±5Vpp, and if it's a sine wave it will be clipped. This is why it is important to set the gain to avoid clipping or to select the rails to be ±10V rails