Gamma-band neural activity (>30 Hz) has been linked to associative memory and is increasingly targeted by non-invasive stimulation protocols, although behavioural effects remain variable and may depend on stimulation modality, waveform, montage, and timing. We assessed whether 40 Hz transcranial alternating current stimulation (tACS) or rhythmic auditory stimulation (rAS) modulates face–name associative memory in healthy young adults. One hundred and twenty participants were assigned to one of four stimulation groups: face-network tACS (Fp1–PO8), bitemporal tACS (T7–T8), sine rAS, or square rAS. Each participant completed three conditions during the Italian Face–Name Associative Memory Test: Continuous stimulation across encoding, retention, and retrieval; Intermittent stimulation during encoding and retrieval; and Sham. Primary memory outcomes showed no significant effects of stimulation, with no Condition × Group interactions for Immediate Recall, Delayed Free Recall, or Delayed Total Recall. In the face-network tACS group, Delayed Total Recall was nominally higher after Continuous than Sham stimulation, but this difference did not survive correction for multiple comparisons. Exploratory analyses of recall-error composition showed a significant Condition × Group interaction: in the face-network tACS group, both active conditions differed from Sham, with descriptively fewer interference errors and more intrusion errors. Overall, a single session of 40 Hz tACS or rAS did not reliably enhance face–name associative memory, although face-network tACS may modulate the qualitative pattern of recall errors in a protocol-dependent manner.