F W L Burch became Secretary and E H (Birdie) Partridge President in a season that for the first and (to date) only time Argaum won the Plymouth Lockie Cup. Of the earlier rounds, only one report is available, against Bere Alston at Plympton, who were defeated 31-0, the backs playing remarkably well with Heard outstanding. Tries by Heard, Cummings, Ward and Keen - two apiece - and a further try by Pearce who also kicked two conversions. The final was against Devonport Services A at the Rectory, Argaum scraping home by a try to nil. They owed their victory "to the smartness of their forwards, although it was Chirgwin the half back who scored. The ground was very heavy and handling could not be indulged in. Both sides made frequent attempts to give a display of this phase, but a forwards game suited the conditions better. Argaum possessed a fast set of forwards and a fairly skilful back division. They had the better of the game and deserved victory".
A photograph - compete with Lockie Cup in the foreground - taken at the Rectory after the game shows: E Partridge (President) G Cummings, W Hawke, F Burch, J Martin, A Hodge, C S Beever, F Blight, J Daly, S Ball, T Hayman (Trainer), F J (true initials J S) Mortimore, R J Dobell, A Beer (Vice Captain), T Heard (Captain), H Keen, R Trounce, C W Bracken, L Bonney (Vice President), J Pearce and J Chirgwin. Three members in the photographs are wearing caps, as to Mortimore, his is a Newton College cap so it appears unlikely that the pleasing gesture of awarding Argaum caps (which started as in the early 1900) had been revived. Of Argaum Lockie Cup experience, a contemporary of that time writes "having won the Lockie Cup, we withdrew the following year because of dirty (not just rough) play by certain teams".
Other recorded results during the season, were wins over Plymouth Ramblers and St Lukes College - both 3-0 - and 6-0 at Okehampton. At North Tawton in December a published team of Beer, Bates, Bracken, Hawk, Ward, Pearce, Heard, Cummings, Trounce, Brown, Dovell, Burch, Thomas, Nicholls and Keen, a very keen game resulted in a draw 3-3, Beer kicking a penalty from half way. The next report 9th February 1924 - a team showing eight changes from the North Tawton side lost 0-7 at Penzance, there being no score at half time but Penzance had the better of the opening of the second half when they did their scoring; thereafter Argaum did much better giving Penzance a strenuous time "Blight intercepted but with a clear run preferred to attempt a drop goal - which failed". There were defeats at the hands of Salcombe 0-12 and Newton Abbot Reserves 0-24. The one remaining recorded result on March 9th, produced an 11-0 win over St Lukes College at Exeter.