Re RN ASW Chinook,
See this thread for some details as to the platform:
http://www.secretprojects.co.uk/forum/index.php/topic,15177.0.html
This was a very real programme, a joint effort between the RN and the RAF with the former being by far the biggest customer but the RN then withdrew sometime in very late 1964 or early 1965.
With regard to the Puma, I have yet to see any evidence that the RAF "didn't want" it, in fact it seems to have fitted the requirement like a glove. In the early 60s there were two joint requirements for helicopters that I have thus far been able to identify:
NAST.358: This was intended to provide the RAF and the RN with a heavy lift helicopter and the latter with a heavy ASW helicopter. The RAF requirement was relatively small, about three squadrons worth, the bulk of the requirement was for the RN ASW mission. This requirement quickly defaulted to a four Gnome Chinook variant (the Westland offering was WG.1 and doesn't seem to have been taken seriously). The RN withdrew from this requirement sometime in late 1965 on cost grounds, the requirement was certainly extravagant and the documentary evidence suggests that was the reason it was abandoned (requirement modified according to the documents) in favour of the SH-3D (to be Sea King), the RAF chose to fill their requirement with a straight buy of Chinooks, which were subsequently cancelled.
NAST.365: This was for a 'utility' battlefield helicopter and for a smaller (than the above) ASW helicopter for the RN. At this stage I don't believe this was considered a replacement for the Scout/Wasp, but I intend to confirm that at some point. The RN withdrew from this requirement around the same time they withdrew from NAST.358 and they procured the Sea King instead. The RN wanted this aircraft to replace those Wessex helicopters in the ASW role on the DLGs (county class) and possibly the Tigers (the study looking at the viability of putting NAST.358s on the Tigers may not have been completed). The ASW requirement was only small and was withdrawn in march 1965 when it was found that the NAST.365 helicopter wouldn't be much better in the ASW role than the existing Wessex's and apparently it was hard to adapt a helicopter primarily designed for tactical lift (this probably had more to do with the RN's specific requirements). The RN also had a longer term requirement to use the NAST.365 type (Puma) to replace its later model Wessex's in the commando role. In the RAF this would have been a replacement for their Wessex fleet, the Westland proposal was WG.4/WG.7.
Neither of these programmes was to replace the Wasp, that was the job of Ikara.
Additionally:
GSR.3335: An Army requirement for a utility helicopter able to carry ten men, Westland offered the WG.3. The RN joined and the requirement was re-issued as NGAST.3335 in June 1966 at which point the WG.13 appeared and became the Lynx.
GSR.3336: This was for an Army light helicopter and Westland made various proposals to this requirement, WG.5, WG.8, WG.10. Eventually the Gazelle came along.