Never did hear the term quadrant, and one could argue that the 180 radial is the southern hemisphere (which I interpret as being south of the equator anyway), but did use to get a clearance to something like "hold southwest of the XXX vor on the 180 radial, left turns".
The british CAP413 RT manual describes the following phraseology:
Bigjet 347, hold at North Cross FL60 expect onward clearance at time 40
Hold at North Cross FL60, request holding instructions, Bigjet 347
Bigjet 347, hold at North Cross FL60, inbound track 260 degrees turns left outbound time 1 minute
The FAA AIM
part 5-3-7 describes holding procedures and does include
1. Direction of holding from the fix in terms of the eight cardinal compass points (i.e., N, NE, E, SE, etc.).
2. Holding fix (the fix may be omitted if included at the beginning of the transmission as the clearance limit).
3. Radial, course, bearing, airway or route on which the aircraft is to hold.
4. Leg length in miles if DME or RNAV is to be used (leg length will be specified in minutes on pilot request or if the controller considers it necessary).
5. Direction of turn if left turns are to be made, the pilot requests, or the controller considers it necessary.
6. Time to expect further clearance and any pertinent additional delay information.