Glacier dynamics exhibits a strong variability in response to climate forcing. To better understand the effects of this forcing, it is essential to provide continuous deformation measurements that must be long-term (over a full or several melt seasons) and high-resolution (from daily to sub-daily). Our permanent GNSS network provides high-resolution 3D constraints on physical models of glacier flow. In this study, we investigate motions of the Argentière Glacier in the French Alps at 2400 m altitude, derived from up to 12 GNSS stations continuously operating since April 2019, covering two melt seasons. We present the results (i) over relatively long timescales (days to months) using a fast static positioning approach to evaluate velocity variations with associated strain rate changes, and (ii) a kinematic approach to focus on high temporal resolution velocity variations during specific short-term events that cannot be seen from the static processing. Obtained results in conjunction with independent measurements such as the cavitometer can give us indices of eventual mechanisms of sliding at the bedrock interface.