At the TLM Indult I have been attending, they have covered all the statues with purple cloth for Lent. Then I read over at the Curt Jester how he says this practice is "silly" and akin to removing the Holy Water from the Holy Water Fonts during Lent (which I know is a no-no). But some others in the comment box seem to state that it is a Traditional practice.
He calls it silly, as he states in the comments, to cover the statues during Lent, when the traditional practice is to cover them only during Passiontide. The US Bishops permit the practice, starting on what is now called the V Week of Lent (traditionally Passion Sunday, so at least some things haven't changed), but most places don't do it. The only place I've seen it done is at the FSSP church I attended for the Triduum last year. Most of the NO parishes don't really have statues to cover, anyway.
It's not just a pious custom, either. At the end of the Mass for Saturday in the IV Week of Lent, the Missal says:
¶ Mass being finished, before Vespers, the Crosses and Images throughout the church are covered; which remain covered through the Celebration of the adoration of the Cross on Good Friday, but the Images until the intonation of the Angelic Hymn on Holy Saturday.