Green’s Dictionary of Slang

1. to move when it requires an effort.

1904		Sydney Sportsman (Surry Hills, NSW) 2 Nov. 3/7: ‘Just my beastly luck, and I fagged round on purpose’.
1910		Wodehouse Psmith in the City (1993) 91: What absolute rot! We can’t fag back there.
1922		Joyce Ulysses 65: Heaviness: hot day coming. Too much trouble to fag up the stairs to the landing.
1930		‘Spotter’ Bird Up 231: You need not fag to go down to the village with your letters, our Post-Orderly wil take them.
1939		J. Campbell Babe is Wise 93: I’m damned if I can be fagged starting all over again with someone else.
1945		N. Marsh Died in the Wool (1963) 40: He went for long drives [...] and fagged about from one meeting to another.

2. to move quickly, to leave in a hurry.

1920–23

in J.M. Hunter Trail Drivers of Texas (1963) I 333: Moving fast is ‘faggin’.