It’s overlooking,” said Jan-Marc Petroschka, chair of the Barbican Association, a residents’ group, referring to the proposed office building, which is known as One Silk Street. The office building next to the Barbican would have shops and cafes rather than housing. Now a convert — she has lived in the Barbican for around six years — Ms. Phillips, 93, expresses concern that part of her home will be overshadowed by the proposed office building. Ms. Stimson said she was determined to contest the office building. They Think a New Office Tower Is Worse.