The signs "INTERRUPT" and "BOTHER" are related to each other. In general though, "interrupt" uses a single movement and "bother" uses a double movement. However you might see the sign "interrupt" done repeatedly (inflected) to mean "repeated interruptions."
INTERRUPT:
BOTHER:
Notes:
Comment: A person commented: "I actually see ‘interrupt' done a lot with the ‘I' hand in Michigan." (Fred, 2020/02/04, Comment Section, Youtube: https://youtu.be/-In-9jNVGf4 )
Response: The use of an "i" handshape for the sign "interrupt" falls under the umbrella of "Signed English." The "i" for "interrupt" sign has in the past also been used as part of an (archaic) signed term "hearing impaired" wherein the signer would point at their ear and then sign "interrupt" with an "i" handshape. (Not recommended). These days instead of using the term "hearing impaired" we tend to just sign "Deaf" or "Deaf / HH."
Notes: