bind, wind about, link, join
纍 centers on connecting things by wrapping or tying: binding, winding about, linking, or joining separate parts into one.
纍 combines 畾 (a repeated field-like shape, possibly suggesting accumulation) with 糸 (thread), pointing to binding or linking with thread. The exact historical development is uncertain.
The top 畾 looks like stacked fields or repeated units, and the bottom 糸 is thread. Picture using thread to bind those separate pieces together, winding around them to link everything into one joined whole.
For ルイ, imagine a loose thread that you wind into a tight loop: the 'rui' sound in 'ruin' (as in ruining the loose state) cues ルイ while you bind and join the threads.