get on to something—
1. get in touch with an office, etc., especially by telephone:
- I must get on to the shop about the order that we’ve been waiting for.
2. begin to talk about smth.:
- Do not dwell too much on small-talk; get on to the subject of your job search fairly quickly.
3. begin to understand smth.:
- Although at first shorthand seemed difficult to me, I soon got on to it.
4. (Progressive Tense) be advancing towards a certain age, time, etc.:
- It was getting on to evening and the sun was setting over the water.
get on towards something — = get on to something 4:
- It was getting on towards evening and I think everyone was anxious to head for home.