"Growing anticipation" refers to the feeling of becoming more and more excited or anxious about something that is expected or about to happen. Full definition
With every passing week, Bitcoin seems to surge to new heights amid growing anticipation of widespread mainstream acceptance. (simplybitcoins.com)
Ask the questions rapidly while growing the anticipation for each next question by imitating quiz show lightning rounds: «Are you ready for the next question? (edutopia.org)
Each summer transfer window I would search the internet daily to see who Wenger would buy, with growing anticipation until the window would shut and leave me disappointed most times. (justarsenal.com)