Community health centres (CHCs) in Uganda play a critical role in primary healthcare delivery. However, their efficiency and effectiveness require rigorous evaluation. A quasi-experimental design with pre- and post-intervention data was employed. Statistical analysis utilised regression discontinuity design (RDD) for causal inference. CHCs showed significant reductions in patient wait times by 25% after implementing new operational protocols, though variability exists across regions. The quasi-experimental approach demonstrated the potential to measure cost-effectiveness of CHC systems efficiently and accurately. Future studies should consider larger sample sizes and longitudinal data for comprehensive evaluation. Quasi-Experimental Design, Community Health Centres, Cost-Effectiveness Analysis, Regression Discontinuity Design Treatment effect was estimated with $\text{logit}(p_i)=\beta_0+\beta^\top X_i$, and uncertainty reported using confidence-interval based inference.