Paul's letter to Titus repeats some concepts that he also wrote to other churches. We see some of that in 1 Timothy 5:11-4:
"But refuse to enroll younger widows, for when their passions draw them away from Christ, they desire to marry and so incur condemnation for having abandoned their former faith. Besides that, they learn to be idlers, going about from house to house, and not only idlers, but also gossips and busybodies, saying what they should not. So I would have younger widows marry, bear children, manage their households, and give the adversary no occasion for slander."
"Enrolling" meant getting her on the list of people the church was supposed to provide financial and other care for, like a deacon's ministry today will do. He didn't want to let the widows who were still young enough to marry and have children be supported by the church, because that would be enabling poor use of their time - going around town, spreading gossip. Marrying and having children would keep many of them too busy to do very much of that.
And we have 2 Thessalonians 3:6-12:
"Now we command you, brothers, in the name of our Lord Jesus Christ, that you keep away from any brother who is walking in idleness and not in accord with the tradition that you received from us. For you yourselves know how you ought to imitate us, because we were not idle when we were with you, nor did we eat anyone's bread without paying for it, but with toil and labor we worked night and day, that we might not be a burden to any of you. It was not because we do not have that right, but to give you in ourselves an example to imitate. For even when we were with you, we would give you this command: If anyone is not willing to work, let him not eat. For we hear that some among you walk in idleness, not busy at work, but busybodies. Now such persons we command and encourage in the Lord Jesus Christ to do their work quietly and to earn their own living."
Paul preaching against busybodies again. He says to work instead of be a busybody.
Now, back over to Titus. Before you get to chapter 2, take a look at chapter 1, verses 11-12:
"They must be silenced, since they are upsetting whole families by teaching for shameful gain what they ought not to teach. One of the Cretans, a prophet of their own, said, 'Cretans are always liars, evil beasts, lazy gluttons.'"
How interesting, Paul is saying to rebuke someone who is spreading stereotypes about the people on Crete, which seemed true enough to distress people on Crete. One of them is "lazy glutton". Now, we come to the passage you asked about:
"and so train the young women to love their husbands and children, to be self-controlled, pure, working at home, kind, and submissive to their own husbands, that the word of God may not be reviled."
So we have a common thread of teaching against laziness/idleness. Housework was one antidote to that. Other work was another. I'm not seeing a reason here to teach against women having jobs, as long as the children are not being neglected. After all, either way, it's avoidance of idleness, and idleness is the great trap that encourages gossip and other problems.