Clothing and shame, etymologically speaking

Question

I have been unable to find an etymological connection between the root for shame בשש (especially as it turns into the forms of בושה בושת) and the word for "clothe" לבש. Shame was introduced in Breishit as a result of Adam and Chava's realizing they were unclothed and clothing, soon after, as follows:

2:25

כה וַיִּהְיוּ שְׁנֵיהֶם עֲרוּמִּים, הָאָדָם וְאִשְׁתּוֹ; וְלֹא, יִתְבֹּשָׁשׁוּ.

and 3:21

כא וַיַּעַשׂ ... לְאָדָם וּלְאִשְׁתּוֹ, כָּתְנוֹת עוֹר--וַיַּלְבִּשֵׁם.

It seems to me that the verb would be an explanation for how one resolves that shame, by covering it; clothing (like a תלבושת?) would, at the source be "that which covers shame". Onkelos has totally different words for each (shame being from the k-l-m root and clothing from the same l-b-sh root).

Has anyone seen a source which explores this connection?

Answer 1

Abarbanel (Bereshis 3) makes the connection between the word for "embarrassment" (בושה) and the word for "clothing" (לבוש). Seemingly, like you said, because the clothing is a covering-up of the embarrassment, and also because clothing (or especially lack thereof) has the strong potential to embarrass a person. He writes as follows:

שיש שתי תכליות בלבוש. האחד להגין על הגוף מהפעלות החום והקור החזק. והב' מפני הכבוד כי חרפה היא לנו ללכת האדם ערום ויחף ומגולה ערותו עד שמפני זה אחשוב שנקרא לבוש מלשון בושה לפי שכמה פעמים יתבייש האדם במלבושו אם להיותו ארוך או קצר יותר מדאי או לצורתו או לגוונו או לפחיתותו

There are two purposes to clothing. The first is to protect the body from the elements, e.g. extreme heat and cold. The second is for dignity, for it is woeful for a person to go about naked and revealed; so much so that I think it is called "l'vush" as in "bushah" because of this, since often a person will be embarrassed by his clothing, whether it be too long or too short or because of its style or color or inferiority.

Answer 2

Rashi has a theory of 2-word roots (eg. here), but in general it is assumed that there is no such thing. Despite the fact that there are many rules (and many exceptions to those rules), Hebrew is a pretty basic language in terms of sort of piecing together words almost like interchangeable construction toy sets. You take one of these, put it with one of those, and before you know it you've got a helicopter. It's one of the things that I find most fascinating with Hebrew. But at the same time, you get a lot of pieces that almost fit and you think they should, but they just don't.