Should ties be banned in school?

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At my school I witnessed a case where a student almost got suffocated because his tie was pulled by another student during the break. If it was not for a quick reaction from a teacher who cut the tie using a scissor the story might have had a tragic ending. I wrote to the local authorities about introducing clip on instead of tie. My suggestion was rejected claiming that I am going too far and that students should learn how to wear ties. In your opinion should ties be banned in schools or not?