‘a bit‘ can modify verb phrases with the meaning ‘by a small degree or amount‘
Here’s a search in NOW corpus to find words before this time/distance etc. adverbial phrase:
* in|for a bit .
1 THAT IN A BIT. 572
We‘re going to come to that in a bit.
2 OUT FOR A BIT. 191
I‘m going to step out for a bit and get some milk for the morning.
3 AROUND FOR A BIT. 143
4 IT FOR A BIT. 143
5 THERE FOR A BIT. 127
6 DOWN FOR A BIT. 126
7 AWAY FOR A BIT. 103
8 OFF FOR A BIT. 86
9 ON FOR A BIT. 78
10 UP FOR A BIT. 77
11 TO IN A BIT. 76
12 THAT FOR A BIT. 73
13 IT IN A BIT. 61
14 LEAST FOR A BIT. 58
15 THEM IN A BIT. 57
16 IN FOR A BIT. 54
17 HIM FOR A BIT. 53
She called her local Circle to say they wouldn’t see her for a bit.
18 THEM FOR A BIT. 50
19 THIS IN A BIT. 50
20 HOME FOR A BIT. 47
A search in iWeb corpus for phrasal verbs + a bit.
1 SLOW DOWN A BIT. 306
Why don’t you just slow down a bit, huh?
2 CALM DOWN A BIT. 169
3 MOVE AROUND A BIT. 151
4 SLOWED DOWN A BIT. 143
5 LOOSEN UP A BIT. 130
6 BACK OFF A BIT. 128
7 CALMED DOWN A BIT. 116
8 COOL DOWN A BIT. 114
9 DRY OUT A BIT. 107
10 BACK UP A BIT. 102
11 LOOK AROUND A BIT. 98
12 STAND OUT A BIT. 98
13 WARM UP A BIT. 95
14 SPREAD OUT A BIT. 84
15 LIGHTEN UP A BIT. 83
16 SCROLL DOWN A BIT. 78
17 PLAY AROUND A BIT. 75
18 TONED DOWN A BIT. 75
19 SETTLE DOWN A BIT. 74
20 WALK AROUND A BIT. 74
A search in iWeb for lexical verb + a bit.
1 CHANGED A BIT. 835
You haven’t changed a bit since high school.
2 HELP A BIT. 709
3 HELPS A BIT. 698
4 RELAX A BIT. 477
5 WAIT A BIT. 461
6 HELPED A BIT. 390
7 CHANGE A BIT. 299
8 HURT A BIT. 244
9 EXPERIMENT A BIT. 207
10 VARY A BIT. 204
11 COOL A BIT. 141
12 MOVE A BIT. 139
13 MIND A BIT. 128
14 PLAY A BIT. 123
15 TAKE A BIT. 118
16 STRUGGLING A BIT. 117
17 DROP A BIT. 115
18 IMPROVED A BIT. 103
19 THINK A BIT. 99
20 SUFFER A BIT. 93
OXFORD:
B1 a bit = [singular] (especially British English) a short time or distance
B1+ bit = NOUN a short period of time or a short distance
B2 a bit = INFORMAL a short period of time