iteratePromise.js

'use strict';

const iteratePromise = (promise, list) =>
  list.reduce((promiseChain, item) =>
    promiseChain.then((results) =>
      promise(item).then((result) =>
        results.concat(result)))
  , Promise.resolve([]));

const list = [ `a`, `b`, `c` ];

const mockPromise = (n) =>
  new Promise((resolve) => setTimeout(() => resolve({ n, timestamp: Date.now() }), 500));

iteratePromise(mockPromise, list)
  .then((results) => console.log(`results ::`, results))
  .catch((err) => console.log(`error ::`, err));

/*
results :: [ { n: 'a', timestamp: 1531490615421 },
  { n: 'b', timestamp: 1531490615923 },
  { n: 'c', timestamp: 1531490616424 } ]
 */

Sometimes Promise.all() is too much, this will force it to run serially.