Learn English – What does “get in a flap” mean

I don't recall the context in the movie, but in general:

cheap: inexpensive or of poor quality.

I got an extra dozen eggs this week because they were cheap.

I didn't buy the bookcase because it looked flimsy and cheap.

slang: "cheap shot" is a verbal or physical attack that is very easy and considered cheating)

The comment about Andy's hair was a cheap shot, he already feels bad about it.

"Cheap" can refer to either the cost of a thing, or to describe a person that only likes cheap things.

My Dad is too cheap to buy new paint.

"Don't _ on me": Don't do this around me or to me or in a way that affects me.

Don't eat all the ice cream on me.

So the phrase "Don't get cheap on me." could mean one of:

• You need to spend more money/time on something for me.
• You need to think about money less.
• You should not tease/attack me like that.

First let me say, the sentence is confusing, and I wouldn't say "get you to a gut level". I have never heard someone say this. Since this is not a common expression, I can only guess at the meaning. However, I'm pretty sure the meaning is this:

"Gut" in this case means intuition. Common phrases using the word "gut" are "trust your gut" (decide using your instinct/emotions), "feel it in my gut" (something deeply resonates with you) and "gut reaction" (a response based off of emotions rather than logic)

So in this context, it most likely means that the narrator in your sentence wants to seduce someone so that he/she will make decisions based on emotions and arousal, rather than on logic.