In a medium bowl, whisk together Dijon mustard, honey, soy sauce, and minced garlic.
Add the beef strips to the bowl and toss to coat thoroughly; marinate at room temperature for 10 minutes.
In a small separate bowl, combine the sour cream, fresh dill, lemon juice, salt, and pepper to prepare the dill cream.
Heat the olive oil in a heavy-based skillet or wok over high heat until shimmering.
Add the beef strips to the pan in a single layer, searing for 2 to 3 minutes until browned and caramelized.
Pour any remaining marinade from the bowl into the pan and toss with the beef for 1 minute until the sauce thickens and glazes the meat.
Transfer the beef strips to a serving platter and serve immediately with the chilled dill cream.