Case file LinkedIn Crossclimb #882: 4-letter ladder, 5 middle exhibits, combo prompt "A hyphenated word for an open-toed item of footwear.". Endpoints: FLIP (top) and FLOP (bottom).
Middle phase answers: "Lose one's footing" = SLIP; "Extremely narrow opening" = SLIT; "Narrow opening" = SLOT; "Lacking speed" = SLOW; "Movement of water or air" = FLOW.
Ordering phase: the valid middle chain is SLIP → SLIT → SLOT → SLOW → FLOW. This permutation is the only valid one-letter chain for these answers.
Evidence link: FLIP → SLIP. F→S at the first letter (FLIP → SLIP).
Evidence link: SLIP → SLIT. P→T at the fourth letter (SLIP → SLIT).
Evidence link: SLIT → SLOT. I→O at the third letter (SLIT → SLOT).
Evidence link: SLOT → SLOW. T→W at the fourth letter (SLOT → SLOW).
Evidence link: SLOW → FLOW. S→F at the first letter (SLOW → FLOW).
Evidence link: FLOW → FLOP. W→P at the fourth letter (FLOW → FLOP).
Verdict: FLIP → SLIP → SLIT → SLOT → SLOW → FLOW → FLOP satisfies every one-letter constraint. The combo clue "A hyphenated word for an open-toed item of footwear." describes both end words together — "FLIP" and "FLOP" each differ by one letter from their adjacent middle rungs and satisfy the shared top+bottom prompt.