When NOT to assume normality?

Hi,   I've recently become worried about the fact that we more often than not assume normality. I fear that in the future I might come to assume normality when I shouldn't and end up coming with wrong answers/insights. Is there a way to safely conclude that a certain dataset does not follow a normal distribution? (disregarding the case when I take the sum or average of the values, as I know I can assume normality because of the CLT).    Also are there certain topics/fields when it is normally accepted to assume normality? (Biology for example, as stated in one of the statistics course videos)   Please help me become more aware of the decisions I make in the future regarding normality.   Thanks