Coupling solution
by Kegler

The 14 squares each contain a U from one direction and a P from the other, so, per 29 Across, you're "pairing" UP.

Coupling solution grid

Across
1CAM(OUr + FLAG)E
9LUGe
12AL + O + HA
13FACE (CAFE anag)
14L(E)AP
15MODELS (SELDOM anag)
16SEA ("SEE" hom)
17S(U)IT
18COP + I + LOT
19sURGING
21P(EG + BO)ARD
25ROO(S)T
26IRISh
27OPT (hidden)
29PAIRING UP
30lEaRnEr
31STET (TEST anag)
32UNT + IE (NUT anag)
33RET(H)READ
35SPA(S,M)S
37TAN + T + RUM
38Y + ENS
40PAR (1st letters)
42S(AT)IRE
43ORDO (DOOR anag)
44T + RAM
45MISER (hidden)
46PSI ("SIGH" hom)
47D(EBUT)ANTES (TUBE rev)
Down
1CAM(CORD)ER (CREAM anag)
2A + LOOF (FOOL rev)
3MODUS OPERANDI (AND IMPOSED OUR anag)
4PAL + LET
5LAST (hidden)
6rACEs
7GEAR (last letters)
8ELS (2 defs)
9LEPIDOPTERIST (I SPOTTED PERIL anag)
10PAINFUL (UP FINAL anag)
11GUT (rev)
19PO(IN + T)E
20G + ROUND
21U(SAGE)S
22G + RITHS (SHIRT anag)
23BRIE + R
24ST(R)EAMERS
28ARGUERS (RUGS ARE anag)
32P(AN + AM)A
34SPREE (PEERS anag)
36MUTE (rev hidden)
37TRAP (rev)
38YOU ("YEW" hom)
39SODa
41A + R + B