When you 'take a run at something' or 'make a run at something', you attempt to do something or complete something challenging or when you don't have too much previous experience or knowledge about something. Similar in meaning to 'take a stab at something' or 'to give it a go'. This is a casual expression but you can use it in informal social and professional contexts.

1. The politician announced her intention to make a run at the presidency next year.
2. I decided to take a run at playing that new game. The rules are so complicated.
3. He is making a run at the finals this year. He has a good chance of winning.

1. Neil had been working on the issue for some time without success, so I asked him if he minded me taking a run at it.
2. When David retires, his position will be up for grabs. I would be very surprised if Helen, with all her experience, didn't take a run at it.