Background Carpal tunnel syndrome (CTS) is caused by compression of the median nerve in the carpal tunnel. The effect of tissue adhesives as a material for wound closure following CTS decompression has been insufficiently investigated. This study aimed to evaluate outcomes by comparing two modalities of wound closure following carpal surgery in patients randomly assigned to either tissue adhesives or sutures. Methodology This randomized, prospective study was conducted in April 2022 at the University Hospital of Split in Croatia. Patients aged 61.56 ± 12.03 years were randomized to either tissue adhesive Glubran Tiss 2®-based (n = 50) or suture-based (n = 50) wound-closure techniques. The following outcomes were assessed before surgery and six months postoperatively: hand strength, electroneurographic characteristics of the median nerve, and the Boston Carpal Tunnel Questionnaire. Results Significant differences between glue-based and suture-based wound-closure techniques were found in the six-month postoperative hand grip strength (25.06 ± 6.69 vs. 21.41 ± 5.62 kg; p = 0.002), postoperative sensory amplitude (10.08 ± 5.50 vs. 7.54 ± 5.41 mV; p = 0.012), and postoperative sensory velocity (42.22 ± 11.04 vs. 35.23 ± 16.40 m/s; p = 0.008). In the glue-based group, significantly more patients achieved a postoperative sensory velocity greater than 45 m/s (47.9% vs. 22.0%; p= 0.006), postoperative distal sensory latency less than 3.5 ms (89.6% vs. 84.0%; p = 0.304), and postoperative motor latency of less than 4.2 ms (60.42% vs. 38.00%; p = 0.022). Conclusions This trial demonstrated that cyanoacrylate-based adhesion material for wound closure after open CTS decompression compared with sutures showed a significant six-month postoperative increment in hand grip strength and median nerve sensory conduction.