[Vuejs]-How to quickly reflect a change in a component's browser worked?

EDIT: OP is using Laravel Homestead. Was not mentioned at first, question tag changed now.

This sounds like an old version of Vue CLI, so it may be time to update if possible. Either way, try:

npm run serve

OR

npm run dev

The standard Vue CLI dev command now is npm run serve. If these fail (unlikely), check your package.json and see what scripts are available

"scripts": {
   "serve": "[]",
   "dev": "[]"
}

Each one of these scripts is an item you can npm run. Check the Vue CLI script docs for more.