Maybe just two chords with a note in common. No special name for it except that plain description.
The second bar of my example is a suspension. A C chord with a 'wrong note' (the F) moving to the 'right note' (E).
The third bar COULD be considered a double suspension. C chord with TWO 'wrong notes' moving to two 'right' ones. Probably more useful to ...
Both of the linked videos demonstrate suspensions.
There are overlapping concepts involved here.
Melody: the "lead" part; the part the ear most gravitates to.
Accompaniment: the parts that fill out the music.
Harmony: the combination of all parts, both melody and accompaniment.
The key here is that, in analysis, examining the harmony requires the ...