Just because Leia wouldn't have been phased by Clara's recognition of her didn't mean that Clara wanted to even consider making the other woman feel uncomfortable. And she wasn't sure if her admitting to recognizing Leia would make her uncomfortable. So she didn't say a word about knowing who she was, or where she came from.
"Blue would look lovely on you," she said with a smile. "Perhaps you should see if they have it in blue. It wouldn't hurt to ask." And maybe Clara would go into the clothing store with her. She did need some more clothes, after all. She knew she couldn't afford a lot, but she needed to get some things.
"I Am new, yes. I just got here the other day. I am Clara," she told the brunette. "It is lovely to meet you, Leia. Have you been here long?"