1. Inadequate light full sun is generally suggested for most honeysuckle vines. 2. Juvenility plants may flower the first season but could require up to three seasons to settle before putting on adequate growth. 3. Improper pruning Dropmore Scarlet honeysuckle usually flowers on laterals produced from previous season's growth; if you prune those, you will eliminate next seasons flowers. 4. Excessive fertilizer honeysuckle requires average soil fertility with adequate moisture during growing season. 5. Winter damage growing less winter-hardy cultivars other than "Dropmore Scarlet".
Or from gardeners world
Don't prune off the new growth, this will produce the flowers next year - it would be a bit much to expect it to flower the first year of being planted out - it will have been quite small and it flowers on the previous year's growth.
Check that it's roots aren't too wet. Remember that it's a woodland plant, and by it's nature woodland soil tends towards being dry in the summer as the trees take up most of the moisture. However it is a fine line because if it gets too dry at the base you (or rather the honeysuckle) might get powdery mildew - but that's just one of the things you have to put up with occasionally in order to get those glorious blooms and sensational perfume on summer evenings - but you'll have to wait until next year.
Oh, you might want to shorten the ends of any long branches a bit, just to encourage sideshoots.
How old are they? Many honeysuckles including e native one flower on last years growth so you won't get flowers on this years fresh leafy growth. Also your self seeded ones may not be that prolific flowerers.