Tā zài zhè jiàn shì shàng shǎnshuòqící, ràng rén huáiyí tā zài yǐnmán shénme.
He was evasive about this matter, making people suspect he was hiding something.
Tips
memory
闪烁 literally means 'to flicker, twinkle' (like a flickering candle) — the words 'flicker' rather than landing clearly. Picture answers that flash by without really illuminating anything.
usage
Always implies suspicion — the speaker is dodging because they're hiding something. Compare with 含糊其辞 (vague but not necessarily deceptive).