We present a neural network-based compression artifact removal technique for vibrotactile signals. The proposed decoder-side quality enhancement approach is based on recurrent neural networks (RNNs) and the principle of residual learning. We use a total of 8 nonlinear RNN layers trained to first estimate the difference between the original and the compressed signal. The estimated difference signal is then added to the compressed signal, followed by further linear processing steps to construct the enhanced signal. With our approach, we are able to enhance signals at almost all compression ratios by up to 1:25 dB. For the signals in our data set, rougly 86% are enhanced in their quality. Through an ablation study, we show that every block of our network is functioning as intended and contributes to the compression artifact removal. Additionally, we show that the chosen network parameters maximize performance.