The “clips” being referred to are called “Saddles” in the technical documentation (especially AP2802A). The answer is found in the Saddles section of that AP.
To summarize, all of the definitive wartime types, Saddles No. 1, 2, 3, 4, and 5, had two features in common. The No 4, being designed for tiered carriage, had an “upper” and “lower” clamping band (see below) of different designs.
There was also a (possibly interim) Saddle type for which I have yet to find the identifying model number. It was used mostly on HE/SAP heads and concrete practice heads on the earliest Mk.I/IB projectors. This is the one that may look like unclamped loops of spring steel on either side of the rocket body, but most certainly isn’t. They also feature clamping bolts (again, see below).
The No 8 was a “zero-length” projector development of the No. 4, and it may have also come into use by the war’s end. We see these on Tempests (CT will know more), later Fireflies and the early jets, IIRC.
The common features of all were:
• a “Clamping Band” and
• one or, in the case of the No. 4 upper, two “Clamping Bolts.”
The No 1 and No 2 Saddles were designed for Mk.I projector beams, while Nos 3, 4, and 5 were for Mk.III beams, which followed the Mk.I into service on some aircraft types. Each beam design had a latching mechanism at its rear to ensure the fully assembled round stayed on the beam when subjected to the host aircraft’s accelerations. In the Mk.III beam system, a part of the latching mechanism, was integral to the upper part of the rear saddle, so the front and rear saddles for these later systems could not be swapped around (those for the Mk. I system were common to the front and rear). I can only speculate that they were securely bolted to the round so that they did not become shrapnel that could potentially damage the aircraft or an RP fin or two during launch.
The “Instructions for use” paragraph of the Saddles portion of the AP called for the Clamping Bands to be bolted securely to the rocket motor (i.e. body) via the clamping bolt(s), with the whole thing set in a jig to ensure proper positioning. The order of assembly to complete one round of RP ammunition was:
• Motor to Fins;
• then Saddles to Motor, with the help of the jig set;
• then warhead (or Projectile, per the documentation nomenclature IIRC).
The whole thing was one solid unit that could survive the high acceleration load during launch.
I believe the bands were more a thicker mild steel plate pressings than a thinner high tensile (and probably more expensive?) spring steel. It was soft enough material to be secured to the RP body with one or two bolts anyway. The solid clamping required suggests that the whole round left the projector beam and met its terminal end as one unit. Photos of and from Beaufighter and Mosquitoes show the saddles still on the rounds after launch. I can’t speak for Typhoons, but the ammunition was virtually identical.
I hope this helps,
Terry @ SkyGrid Studio / Aviaeology Publishing / Canadian Aviation Historical Society Journal
Note: I edited the paragraph referring to the interim Saddle type to correctly read "Mk.I/IB projectors, vice the Mk.III/IIIA I erroneously referred to in my original. Apologies… working too fast from scribbled notes!