Does the timer for offers persist if the customer leaves and comes back?

As an e-commerce store owner, I've been struggling with maintaining the sense of urgency in my discount offers. Too often, customers get distracted, leave the site, and when they return, the magic of the limited-time offer is gone. I've tried multiple apps and strategies, but finding a solution that remembers a customer's unique offer across sessions feels like solving a complex puzzle. My team and I have been burning hours trying to create a seamless experience where a personalized, time-limited discount doesn't just vanish the moment a customer switches tabs or takes a coffee break. We're looking for a sophisticated tracking mechanism that can recognize a specific user, remember their unique offer, and ensure the countdown timer picks up exactly where it left off. It's not just about preserving the discount—it's about creating a consistent, trustworthy experience that feels personalized and compelling. Our conversion rates depend on these small but critical technical details, and we can't afford to lose potential customers due to a poorly implemented timer or an offer that mysteriously disappears.