frame, framework, spindle, spool, bounding-box, (kokuji)
枠 centers on a structure that encloses or holds something: a frame, framework, or bounding box. The spindle and spool senses are specific applications of a frame-like object that holds thread or wire.
枠 is a kokuji (Japanese-made kanji) combining 木 (tree, wood) with 卆, a simplified form of 卒. The 卆 component likely contributes a phonetic hint (ソツ) and the idea of a finished or bounded structure, giving a wooden frame.
The left side is 木 (wood), and the right side 卆 looks like a cross-shaped frame. Picture a wooden frame built from crossed beams: 枠 is a frame.
For わく, imagine a wooden frame that wobbles and goes 'waku waku' as you shake it: waku -> わく, and the frame holds everything together.
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frame; framework
frame (physical structure); framework
additional; extraordinary; outside the norms; special case
general framework
(beyond the) limits; scope; boundary
black borders; mourning borders (e.g. on an obituary)
page frame
shuttering; formwork; mold
party lines (politics)
school admission category
inner frame; within given limits
clip rectangle
embroidery frame; embroidery hoop; tabouret; taboret; taborine; taborin
acceptance limits; admission quota; area of eligibility
limit on participation
plot frame (drafting); drawing frame; sheet layout
formwork; shuttering; mold; mould; form
quota increase; allowance increase; limit increase; increase in one's share
border
thick-bordered box or table (in forms, etc.)