What does the cryptic crossword clue "Clothing and home design company (Gap, perhaps) — first to emerge overleaf (4,4)" mean?

This cryptic clue uses wordplay to arrive at the answer. Visit the page for progressive hints — definition, wordplay type, and a full step-by-step explanation.

Clothing and home design company (Gap, perhaps) — first to emerge overleaf (4,4)

Guardian Cryptic #28282 | 20 Across | 2020-11-04

Generating...

I haven't cracked this one yet — but the brilliant team at Fifteensquared have:

NEXT (company as descibed) + GAP* + E[merge]

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Clothing and home design com­pany (Gap, perhaps) — first to emerge overleaf (4,4)

Clothing and home design company (Gap, perhaps) — first to emerge overleaf (4,4)