The Matusevich Ice Shelf (MIS), located within the Severnaya Zemlya Archipelago in the Russian Arctic, rapidly broke apart between August 10th and September 7th 2012. We examine the response of the outlet glaciers that fed the MIS from local ice caps to the removal of the ice shelf. We use spaceborne laser altimetry, and multiple optically derived Digital Elevation Models (DEMs) to track ice surface elevation change rates (dh/dt) between 1984-2014. Glacier speeds are measured by pixel-tracking from optical and RADAR imagery between 2010-2014, and InSAR in 1995 to compare pre- and post-collapse velocities. We find that the three main outlet glaciers that fed the MIS are thinning an order of magnitude more rapidly than most of the rest of Severnaya Zemyla, based upon ICESat data from 2003-2009. Recent, 2012 to 2014 thinning rates are three to four times faster than the 30-year average thinning rate, calculated between 1984 and 2014. The springtime speeds of the largest outlet glacier (Issledovateley) have increased more than 200% at the terminus between April 2010 and April 2014. To date, changes in surface elevation (dh/dt) and velocity at the outlet glaciers near MIS are smaller than glacier responses to ice shelf collapse in Antarctica. It is possible that the MIS was already very weak prior to the 2012 collapse and unable to support back stress. Further observations are required to assess whether the thinning and non-melt season glacier speeds are continuing to accelerate.