Just to give some context, the paper referenced by the post[0] is a bit old. Eamonn Keogh is (to my knowledge) the current head of the research group that developed the Matrix Profile, which purports to be useful in clustering[1]. Actually on their main introduction to the MP[2] they use a chart to explain motif discovery and chains that is very similar to the one on section 6 of [0].
To be fair, I don’t remember any of the papers of the group explicitly discussing subsequence clustering, but one hopes they have advanced on that front.
[0] https://www.cs.ucr.edu/~eamonn/meaningless.pdf
[1] https://www.cs.ucr.edu/~eamonn/MatrixProfile.html
[2] https://www.cs.ucr.edu/~eamonn/Matrix_Profile_Tutorial_Part1...